The lines on the graph below represent the cost of apples at four different stores.

Question

A graph titled Cost of Apples has pounds of apples on the x-axis and total cost in dollars on the y-axis. Line A goes through points (0, 0) and (4, 3). Line B goes through points (0, 0) and (4, 4). Line C goes through points (0, 0) and (4, 5). Line D goes through points (0, 0) and (4, 8).

At which store is the cost of apples the least?
A
B
C
D

Answer 1

To determine which store has the least cost of apples, we need to compare the slopes of each line represented in the graph. The slope of each line indicates the cost per pound of apples.

• Line A goes through points (0, 0) and (4, 3), so the slope is \(\frac{3 - 0}{4 - 0} = \frac{3}{4} = 0.75\) dollars per pound.
• Line B goes through points (0, 0) and (4, 4), so the slope is \(\frac{4 - 0}{4 - 0} = 1\) dollar per pound.
• Line C goes through points (0, 0) and (4, 5), so the slope is \(\frac{5 - 0}{4 - 0} = \frac{5}{4} = 1.25\) dollars per pound.
• Line D goes through points (0, 0) and (4, 8), so the slope is \(\frac{8 - 0}{4 - 0} = 2\) dollars per pound.

Now, we compare the slopes:

• Store A: 0.75 dollars per pound
• Store B: 1 dollar per pound
• Store C: 1.25 dollars per pound
• Store D: 2 dollars per pound

The store with the least cost of apples is Store A, as it has the lowest slope of 0.75 dollars per pound.