151k views
3 votes
A grocery store sells sliced pastrami by weight. The relationship between the amount of pastrami in pounds, x, and the total cost in dollars of the sliced pastrami, y, is represented by the graph below.

What is the constant of proportionality as shown in the graph?

A grocery store sells sliced pastrami by weight. The relationship between the amount-example-1

1 Answer

5 votes

Constant of proportionality is 7. It means for every pound of pastrami, you pay $7.

To find the constant of proportionality in the graph, we can choose any two points on the line and divide the y-coordinate of one point by the x-coordinate of the same point. The result will be the constant of proportionality.

Let's choose the points (3.5, 20) and (0.8, 5.6).

Constant of proportionality = (20 / 3.5) = (5.6 / 0.8) = 7

Therefore, the constant of proportionality is 7. This means that for every pound of sliced pastrami, the customer pays $7.

Another way to find the constant of proportionality is to use the following formula:

Constant of proportionality = y / x

where y and x are the coordinates of any point on the line.

Using this formula, we can get the same result as before:

Constant of proportionality = 20 / 3.5 = 5.6 / 0.8 = 7

The constant of proportionality is a useful measure of how two quantities are related to each other. In this case, the constant of proportionality tells us that the customer pays $7 for every pound of sliced pastrami.

User Row
by
7.8k points