A grocery store sells sliced Swiss cheese by weight. The relationship between the amount of Swiss cheese in pounds, x, and the total cost in dollars of the sliced Swiss cheese, y, is represented by the graph below.

Question

A point (6, comma, 336,33) is labeled below. Which statement about the graph is true?
0
Number of Pounds
Total Cost (in dollars)
x
y
0
Number of Pounds
Total Cost (in dollars)
(6 , 33)
The unit rate is 5.5 pounds per dollar
The unit rate is 6 pounds per dollar
The unit rate is $5.50 per pound
The unit rate is $33.00 per pound

Answer 1

The statement about the graph that is true is: The unit rate is $5.50 per pound.

This can be determined by looking at the slope of the line that represents the relationship between the amount of Swiss cheese in pounds and the total cost in dollars. The slope of the line is equal to the change in y (total cost) divided by the change in x (amount of Swiss cheese in pounds).

In this case, the change in y is 336.33 - 0 = 336.33 and the change in x is 6 - 0 = 6.

Therefore, the slope (unit rate) is 336.33/6 = 56.055, which is approximately $5.50 per pound.