Answered

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MODELING REAL LIFE A car and a truck follow the same route on a pair of round-trip deliveries. The function
c(x)=-72|x-51+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.
Distance from Starting Point
Distance (miles)
360
240
120
2
4
6 B
Time (hours)
10
12 X
a. How far is the delivery from the starting point?

Sagot :

MrRoyal

The delivery is 10 hours from the starting point

How far is the delivery 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:

https://brainly.com/question/3381225

#SPJ1

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?

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