Question

There is a proportional relationship between the weight and total cost of a bag of cherries. One bag weighs 2.1 pounds and costs $7.98. Another bag weighs 2.8 pounds and costs $10.64.

Describe how you would graph the proportional relationship

Answer 1

To graph a proportional relationship between the weight and cost of cherries, create a graph with weight on the x-axis and cost on the y-axis, plot the given data points, draw a line through them and through the origin, and confirm the linearity of the points.

Step-by-step explanation:

To graph the proportional relationship between weight and total cost of a bag of cherries, you would follow these steps:

Create a graph with the horizontal axis (x-axis) representing the weight of the bag in pounds and the vertical axis (y-axis) representing the cost in dollars.

Plot the points given by the two conditions: (2.1, $7.98) and (2.8, $10.64).

Draw a straight line that passes through these two points. Because it's a proportional relationship, the line should start from the origin (0,0), which demonstrates that if there is no weight, there is no cost.

Check that the two points are aligned with the straight line, confirming the relationship is indeed proportional.

By plotting further points or using these points to determine the rate of cost per pound, you can predict the cost of different weights of cherries.