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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

McIntosh apples are cheaper at $1.75 per pound.
McIntosh 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.

Granny Smith apples are cheaper at $1.75 per pound.
Granny Smith apples are cheaper at $1.75 per pound.
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1 answer

To determine which type of apple is cheaper per pound and their respective costs per pound, we need to analyze the data provided for both Granny Smith and McIntosh apples.

From the graph for Granny Smith apples:

  • At 2 pounds: $3.50 ⇒ Cost per pound = $3.50 / 2 = $1.75
  • At 3 pounds: $5.25 ⇒ Cost per pound = $5.25 / 3 = $1.75
  • At 4 pounds: $7.00 ⇒ Cost per pound = $7.00 / 4 = $1.75

The cost per pound for Granny Smith apples is consistently $1.75.

From the table for McIntosh apples:

  • At 2 pounds: $3.70 ⇒ Cost per pound = $3.70 / 2 = $1.85
  • At 3 pounds: $5.55 ⇒ Cost per pound = $5.55 / 3 = $1.85
  • At 4 pounds: $7.40 ⇒ Cost per pound = $7.40 / 4 = $1.85

The cost per pound for McIntosh apples is consistently $1.85.

Now we compare the costs:

  • Granny Smith apples: $1.75 per pound
  • McIntosh apples: $1.85 per pound

Conclusion: Granny Smith apples are cheaper at $1.75 per pound.

Therefore, the response is: Granny Smith apples are cheaper at $1.75 per pound.