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 (4, comma, 484,48) 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)
(4 , 48)
The unit rate is 12 lunches per dollar
The unit rate is $48.00 per lunch
The unit rate is $12.00 per lunch
The unit rate is 4 lunches per dollar
The correct statement about the graph is: The unit rate is $12.00 per lunch.
The statement that is true about the graph is: The unit rate is $12.00 per lunch.
To determine the unit rate, we need to find the ratio of the change in y (total cost) to the change in x (number of boxed lunches). Looking at the graph, we can see that when the number of boxed lunches ordered, x, increases by 4 (from 0 to 4), the total cost, y, increases by $48.00 (from $0 to $48.00).
Therefore, the unit rate is $48.00 / 4 lunches = $12.00 per lunch.
To determine the unit rate from the given graph, we need to find the slope of the line. The slope represents the change in y (total cost) divided by the change in x (number of boxed lunches ordered).
Using the labeled point (4, 484.48), let's identify another point on the graph. Let's choose the point (0, 0) which represents when no boxed lunches are ordered.
Now, we can calculate the change in y (Δy) by subtracting the y-coordinates: 484.48 - 0 = 484.48.
Similarly, we can calculate the change in x (Δx) by subtracting the x-coordinates: 4 - 0 = 4.
The unit rate is the change in y divided by the change in x: Δy / Δx = 484.48 / 4 = 121.12.
Therefore, the correct statement about the graph is: The unit rate is 121.12 lunches per dollar.