A company orders boxed lunches from a deli, which all cost the same price. The relationship between the number of boxed lunches ordered, x, and the total cost in dollars of the lunches, y, is represented by the graph below.

A point (6, comma, 426,42) is labeled below. Which statement about the graph is true?
0
Boxed Lunches Ordered
Total Cost (in dollars)
x
y
0
Boxed Lunches Ordered
Total Cost (in dollars)
(6 , 42)
The unit rate is 7 lunches per dollar
The unit rate is 6 lunches per dollar
The unit rate is $7.00 per lunch
The unit rate is $42.00 per lunch

1 answer

The statement "The unit rate is 7 lunches per dollar" is true.
To find the unit rate, we can divide the change in y (total cost) by the change in x (boxed lunches ordered) between two points on the graph. Since the point (6, 426.42) is labeled, we can use it along with the point (0, 0) to find the unit rate.
Change in y = 426.42 - 0 = 426.42
Change in x = 6 - 0 = 6
Unit rate = Change in y / Change in x = 426.42 / 6 = 71.07
The unit rate is 7 lunches per dollar.