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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

Granny Smith apples are cheaper at $1.85 per pound.
Granny Smith 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.

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

McIntosh apples are cheaper at $1.85 per pound.

1 answer

To determine which type of apple is cheaper per pound, let's calculate the cost per pound for each type of apple based on the information provided.

Granny Smith Apples (from the graph):

  • For 2 pounds: $3.50 / 2 = $1.75 per pound
  • For 3 pounds: $5.25 / 3 = $1.75 per pound
  • For 4 pounds: $7.00 / 4 = $1.75 per pound

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

McIntosh Apples (from the table):

  • For 2 pounds: $3.70 / 2 = $1.85 per pound
  • For 3 pounds: $5.55 / 3 = $1.85 per pound
  • For 4 pounds: $7.40 / 4 = $1.85 per pound

The cost per pound for McIntosh apples is $1.85.

Comparison:

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

Therefore, Granny Smith apples are cheaper at $1.75 per pound.

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