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The delivery is 10 hours from the starting point
To do this, we make use of the function definition of the car's path
This is given as:
c(x) =-72|x - 5| + 360
At the delivery point, the car's distance to the delivery point is 0
So, we have:
-72|x - 5| + 360 = 0
Subtract 360 from both sides of the equation
So, we have
-72|x - 5| = -360
Divide both sides of the equation by -72
So, we have
|x - 5| = 5
Remove the absolute bracket
So, we have
x - 5 = 5 and x - 5 = - 5
Add 5 to both sides of the equation
So, we have
x = 10 and x = 0
The solution x = 0 represents the starting point
So, we make use of
x = 10
Hence, the delivery is 10 hours from the starting point
Read more about absolute value functions at:
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Complete question
A car and a truck follow the same route on a pair of round-trip deliveries. The function c(x) =-72|x - 5| + 360 represents the distance (in miles) of the car from the starting point after x hours. The truck's distance from the starting point is shown in the graph. How far is the delivery from the starting point?