Guide :

# How do you recognize a proportional relationship in a graph?

## Research, Knowledge and Information :

### Proportional relationships: graphs (practice) | Khan Academy

Khan Academy is a nonprofit with the mission of providing a free, ... Which of the following graphs show a proportional relationship? Choose all answers that apply:

### Identifying proportional relationships by examining a graph ...

... a proportional relationship by analyzing a graph. ... Identifying proportional relationships by ... how to identify a proportional relationship by ...

### Recognize and represent proportional relationships; interpret ...

Recognize and represent proportional relationships between quantities; ... on the graph of a proportional relationship means in terms of the situation, ...

### Grade 7 » Ratios & Proportional Relationships | Common Core ...

Analyze proportional relationships and use them ... CCSS.Math.Content.7.RP.A.2 Recognize and represent ... on the graph of a proportional relationship means in ...

### 4 Ways to Determine Whether Two Variables Are Directly ...

When two variables are directly proportional, ... it is easy to identify directly proportional variables by using ... indicate a directly proportional relationship.

### Proportional relationships: graphs (video) | Khan Academy

Key idea: the graph of a proportional relationship is a straight line through the origin. ... So already we know that this is not proportional. Not proportional.

### IXL - Identify proportional relationships by graphing (7th ...

K.3 Identify proportional relationships by graphing ... Help center | Tell us what you think | Testimonials | International | Jobs | Contact us © 2017 IXL Learning.

### Graphs of Proportional Relationships - Math Interventions Matrix

Graphs’of’Proportional’Relationships ... We’can’graph’any’line’if’ we’know’its’slope’and’yL intercept. ...

### Proportional Functions - Monterey Institute

... standard proportional function equation. · Recognize and describe the characteristics of a proportional function graph. ... proportional relationship gives ...

## Suggested Questions And Answer :

### three things determine if a relationship is proportional

If x is one variable in the relationship and y is the other, then xy=constant for all values of x and y (that's inverse proportionality); or y=ax (where a is a constant) for direct proportionality, so that y=0 when x=0. So we could say: One variable changes as the other changes: one increases as the other increases in a linear fashion (a graph would be a straight line) – direct proportionality; If directly proportional, the graph is a straight line passing through the origin; One variable changes as the other changes: one increases as the other decreases (non-linear) – inverse proportionality, and their product is constant.

### How do you recognize a proportional relationship in a graph?

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### how do you determine a linear regression for data

Joe's sales records for the sale of tomatoes would be the basis of establishing whether linear regression applies. His business is at least in part selling tomatoes, and there is a direct relationship between the number of tomatoes he sells and his profit. Written into this is the potential loss per month of giving away tomatoes he could have sold. So the 5 tomatoes are worth 3.75 a month. He does sell more tomatoes than he gives away. We have to assume that he doesn't lose a significant number of tomatoes as a result of decay or theft or taking them for himself or his family. We could assume that he gives away tomatoes because they would otherwise decay.  The graph of tomato sales would take the form of time against number sold or the revenue from the sales. Time could be in days or weeks, depending on when he did his accounting. He could also plot his production on the same time scale to see what proportion of the tomatoes he grows are sold. Over a period of several months it should be clear whether there was a linear trend, i.e., the data followed a roughly straight line, some data below, some data above the line in the form y=ax+b+e where a is the slope, b the y intercept and e an error factor caused by data fluctuations.

### 15\4 divided by 5

me assume that shood be (15/4) /5 =15/20 =3/4 =0.75 =75%

### I need help, I really need help pleeease.

I assume that (3) is a graph, because it doesn't display on my tablet. Question 1 a) 1 because the daily operating cost is stated specifically. b) 3 because the profit of \$500 will be a point on the graph corresponding to a value of t; 2 because if we put P=500 and solve for t we get t=1525/7.5=203.3 so the graph would show t=203-204. c) 2 because we set P=0 and solve for t=1025/7.5=136.7, so 137 tickets sold would give a profit of \$2.5, but 136 tickets would make a loss of \$5; alternatively, if (3) is a graph then P=0 is the t-axis so it's where the line cuts the axis between 136 and 137. d) The rate of change is 7.5 from (2).  e) 2, because the format shows it to be a linear relationship; a straight line graph for (3) also shows linearity. Question 2 a) profit=sales- operating costs so 1025 in (2) is the negative value representing these costs. If (3) is a graph, it's the intercept on the P axis at P=-1025; (4) is the P value when t=0. b) For (1) you would need to find out how many tickets at \$7.50 you would need to cover the operating costs of \$1025 plus the profit of \$500. That is, how many tickets make \$1525? Divide 1525 by 7.5; 2 and 3 have already been dealt with; to use (4) you would note that P=\$500 somewhere between t=200 and 250 in the table. c) For (1), work out how many tickets cover the operating costs. 1025/7.5=136.7, so pick 137 which gives the smallest profit to break even; 2 and 3 already given; in (4) it's where P goes from negative to positive, between 100 and 150. d) For (1) the only changing factor is the number of tickets sold. The rate is simply the price of the ticket, \$7.50; if (3) is a graph, the rate of change is the slope of the graph, to find it make a right-angled triangle using part of the line as the hypotenuse, then the ratio of the vertical side (P range) and the horizontal side (t range) is the slope=rate of change; for (4) take two P values and subtract the smallest from the biggest, then take the corresponding t values and subtract them, and finally divide the two differences to give the rate of change: example: (475-(-275))/(200-100)=750/100=7.5. e) For (1) it's clear that the profit increases (or loss decreases) with the sale of each ticket by the same amount as the price of a ticket, so there is a linear relationship; 2 and 3 already dealt with; in the table in (4) the profit changes by the fixed value of 50 tickets=\$375, showing that a linear relationship applies between P and t: for every 50 tickets we just add \$375 to the profit.

### If in a table the x value is 0 and the y value is another number, would the table be proportional?

No, it can't be proportional because the only value proportional to 0 is zero itself. However, there can be a linear relationship such as y=ax+b, where b is non-zero. Proportionality applies if b=0. And proportionality isn't restricted to a linear relationship. y=ax^3 is a proportionality but y=ax^3+b isn't.

### how do I write an equation based on a two-column table of data?

You need to find a relationship between the independent (we'll call x)  and dependent (we'll call y) variables first. Sometimes it's simple proportionality: y=px where p is a common constant of proportionality for each row of the table; sometimes it's linear: y=px+a where as well as p we have a sort of displacement called the y intercept which is added after applying p, you can tell if's linear by lookin at the difference of consecutive x and y values in the table. If we take two y values y1 and y2 and their corresponding x values x1 and x2 and work out p=(y1-y2)/(x1-x2) for all corresponding listed values in the table, and this calculated value of p is the same for all of them then we have a linear relationship y=px+a. We find a by taking any single row (x, y value) and then a=y-px for whatever (x,y) we picked. The value of a may be positive or negative. If it's inverse proportionality the rule xy=p applies to every corresponding x and y value and we can also have the relationship y=(p/x)+a so a=y-(p/x) for all corresponding pairs (x,y). There are other more complicated relations that can be made into an equation, but the most likely ones for this type of question are the linear relationships, direct and inverse prortionality.

### Relationships in proportionas

Relationships are always proportional.  The question is if the proportions are equal to each other. 75 boys in band / 250 boys total = 3 / 10 60 girls in band / 200 girls = 3 / 10 Yes, the proportion of boys in the band and girls in the band are the same.

### Linear Correlation

According to the critical values table, where we use a=0.05 and df=6 (2 fewer than the number of bears), a value of r exceeding 0.707 implies that r=0.855 gives us a 95% probability that there is a significant linear relationship between weight and chest size. The proportion of variation in weight attributable to the linear relationship is given by r^2=0.855^2=0.731 or about 73%. There is very probably a linear relationship between bears' weight and chest size.

### what graph is easier to construct?

It depends on what you are trying to show. Is it statistics? Is it a mathematical relationship? I would guess your are talking statistics. A pie chart is circular and is good for showing the relative distribution of groups in a population, for example, the distribution amongst a school of students on sport preferences. The circle represents all the students (100%) while the "slices of pie" each represent the number of students favouring a particular sport. A bar graph or chart often represents frequencies so it's easy to see from the height or length of each bar which have the lowest frequency of distribution and which have the highest. A line graph or scatter graph can demonstrate correlation between two quantities to see if there could be a connection between the two. This is useful for linear correlation. A map graph could be used to show the distribution of average rainfall or temperature over a large area, perhaps over the whole world. So there isn't a "best" or easiest; it's more about what you're trying to show. The larger the dataset the longer it will take to draw the relevant graph, and you need to decide which type of graph is going to be most useful before you attempt to draw it! Then you can plan the work needed.