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The graph shows the cost for cherries and apples.

Which statement is true about the unit costs shown in the graph?

Responses

The unit cost for cherries is greater because the slope is less than the slope for apples.
The unit cost for cherries is greater because the slope is less than the slope for apples.

The unit cost for apples is greater because the slope is less than the slope for cherries.
The unit cost for apples is greater because the slope is less than the slope for cherries.

The unit cost for apples is greater because the slope is greater than the slope for cherries.
The unit cost for apples is greater because the slope is greater than the slope for cherries.

The unit cost for cherries is greater because the slope is greater than the slope for apples.
The unit cost for cherries is greater because the slope is greater than the slope for apples.
A graph measuring cost and amount. Two lines, labeled Cherries and Apples, exit the origin to show that cost increases as amount increases

3 answers

In a graph where cost is represented on the vertical axis and quantity is on the horizontal axis, the slope of the line indicates the unit cost. The slope of the line is calculated as the change in cost divided by the change in quantity, which gives you the cost per unit.

If the slope for cherries is greater than the slope for apples, it means that cherries have a higher unit cost compared to apples. Conversely, if the slope for apples is greater, then apples have a higher unit cost than cherries.

Given the options provided, you should choose the one that correctly interprets the relationship between the slopes of the lines for cherries and apples:

  • If the slope for cherries is greater than the slope for apples, then "The unit cost for cherries is greater because the slope is greater than the slope for apples."
  • If the slope for apples is greater than the slope for cherries, then "The unit cost for apples is greater because the slope is greater than the slope for cherries."

Make sure to determine which line has the greater slope in the graph to select the correct statement accordingly.

choose one of the answer choices above

Without seeing the actual graph, I can guide you based on the description provided. However, to choose one of the given answer options, you need to determine which line has the greater slope based on the graph you have.

If the slope for cherries is greater than the slope for apples, then you should choose:

  • "The unit cost for cherries is greater because the slope is greater than the slope for apples."

If the slope for apples is greater than the slope for cherries, then you should choose:

  • "The unit cost for apples is greater because the slope is greater than the slope for cherries."

Please identify which statement aligns with the graph based on the slope comparison between cherries and apples.