Compare Proportional Relationships Quick Check
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Question
Use the image and table to answer the question.
A line graph is titled as Granny Smith Apples per Pound. The x-axis is labeled Pounds ranging from 0 to 6 in increments of 1. The y-axis is labeled Cost in dollars ranging from 0.00 to 8.00 in increments of 0.50. A line joins four plotted points. The coordinates of the plotted points are as follows: left parenthesis 0 comma 0 right parenthesis, left parenthesis 2 comma 3.50 right parenthesis, left parenthesis 3 comma 5.25 right parenthesis, and left parenthesis 4 comma 7.00 right parenthesis.
McIntosh Apples
($) Cost per Pound
Pounds ($) Cost
2 3.70
3 5.55
4 7.40
The costs per pound for Granny Smith apples and McIntosh apples are displayed in the graph and table. Which type of apple is cheaper per pound, and what is the cost per pound?
(1 point)
Responses
Granny Smith apples are cheaper at $1.75 per pound.
Granny Smith apples are cheaper at $1.75 per pound.
Granny Smith apples are cheaper at $1.85 per pound.
Granny Smith apples are cheaper at $1.85 per pound.
McIntosh apples are cheaper at $1.85 per pound.
McIntosh apples are cheaper at $1.85 per pound.
McIntosh apples are cheaper at $1.75 per pound.
Granny Smith apples are cheaper at $1.75 per pound.
To determine which type of apple is cheaper per pound, we need to compare the cost per pound for Granny Smith apples and McIntosh apples.
The cost per pound for Granny Smith apples can be determined from the graph. Looking at the plotted points on the graph, we can see that at 2 pounds, the cost is $3.50, and at 4 pounds, the cost is $7.00. Therefore, the cost per pound for Granny Smith apples is (7.00 - 3.50) / (4 - 2) = $1.75.
The cost per pound for McIntosh apples is given in the table. At 2 pounds, the cost is $3.70, and at 4 pounds, the cost is $7.40. Therefore, the cost per pound for McIntosh apples is (7.40 - 3.70) / (4 - 2) = $1.85.
Comparing the cost per pound, we can see that Granny Smith apples are cheaper at $1.75 per pound.
So, the correct answer is:
Granny Smith apples are cheaper at $1.75 per pound.