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 (8, comma, 728,72) 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)
(8 , 72)
The unit rate is 8 lunches per dollar
The unit rate is 9 lunches per dollar
The unit rate is $9.00 per lunch
The unit rate is $72.00 per lunch
The unit rate is 9 lunches per dollar
Based on the graph, the statement "The unit rate is $9.00 per lunch" is true.
To determine the unit rate, divide the change in y (total cost) by the change in x (boxed lunches ordered) for any two points on the graph. In this case, the point provided is (8, 72). The change in y is 72 - 0 = 72, and the change in x is 8 - 0 = 8.
Dividing the change in y by the change in x:
Unit rate = 72 / 8 = 9
Thus, the unit rate is 9 lunches per dollar, or $9.00 per lunch.
To determine the unit rate, we need to find the value of y (total cost) when x (number of boxed lunches) is equal to 1.
Looking at the graph, we can see that when x = 8, y = 72. This means that for 8 boxed lunches, the total cost is $72.
To find the unit rate, we divide the total cost by the number of boxed lunches:
Unit rate = Total cost / Number of boxed lunches
In this case, the unit rate is $72 / 8 = $9.00 per lunch.
So, the correct statement about the graph is:
The unit rate is $9.00 per lunch.