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David wants to rent a bicycle for a couple of hours to explore the city. The price of the bike rental, (P), depends on the time the bike was out, (t). The price consists of a base charge of $8 and a valuable hourly cost. The graph of the function is shown below.Complete the following sentences below based on the graph of the function* The hourly charge is $___ per hour for the first 3 hours.* The rate then drops to $___ per hour until the end of the 6th hour.* The hourly rate drops further to $___ per hour between the 6th and 10th hours.* The maximum price of the bike rental is $___.

David Wants To Rent A Bicycle For A Couple Of Hours To Explore The City The Price Of The Bike Rental P Depends On The Time The Bike Was Out T The Price Consists class=

Answer :

Let

t -----> number of hours

P -----> price of the bike rental

so

Part a) The hourly charge is $___ per hour for the first 3 hours

Find the slope of the line in the interval (0,3)

we take the points

(0,8) and (3,20)

m=(20-8)/(3-0)

m=12/3

m=4

that means

the hourly charge is $4 per hour

Part b) The rate then drops to $___ per hour until the end of the 6th hour

Find the slope of the line in the interval (3,6)

we take the points

(3,20) and (6,26)

m=(26-20)/(6-3)

m=6/3

m=2

that means

The rate then drops to $2 per hour until the end of the 6th hour

Part c) The hourly rate drops further to $___ per hour between the 6th and 10th hours

Find the slope of the line in the interval (6,10)

we have the points

(6,26) and (10,30)

m=(30-26)/(10-6)

m=4/4

m=1

therefore

The hourly rate drops further to $1 per hour between the 6th and 10th hours

Part d) The maximum price of the bike rental is $

Looking at the graph

For

[tex]t\ge10\text{ h}[/tex]

the value of P=$30

so

The maximum price of the bike rental is $30

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