Chapter 4.5, Problem 28PPE

a.

To determine

To find: a function rule for the total bill b as function of number of days d the car is rented

Answer to Problem 28PPE

The function rule for total bill b to rent a car is $T=29d+59.55$ rule is $15n+12$ .

Explanation of Solution

Given information:

A car rental agency charges $29 per day to rent and $13.95 per day for GPS. And customers are charged for their full tank of gas at $3.80 per gallon. And a car has 12-gal tank and a GPS.

To write a function rule, first find the cost of 12 gallon gas,

  $12\times 3.80=45.6$

The charge is given as $29 per day, the find for ‘d’ days,

  $29\times d$

Add the GPS charge and cost of 12 gallon gas in charges for d days; b is the total bill to rent a car,

  $\begin{array}{l}b=29\times d+45.6+13.95\\ =29d+59.55\end{array}$

Therefore function rule for total bill b to rent a car is $T=29d+59.55$

b.

To determine

To find: A 9-days bill for rent a car.

Answer to Problem 28PPE

The 9-days bill for rent a car is $320.55

Explanation of Solution

Given information:

A car rental agency charges $29 per day to rent and $13.95 per day for GPS. And customers are charged for their full tank of gas at $3.80 per gallon. And a car has 12-gal tank and a GPS.

To find the 9-day bill for rent a car, substitute 9 for $d$ in rule calculated in part (a).

  $\begin{array}{l}b=29d+59.55\\ =29\left(9\right)+59.55\\ =261+59.55\\ =320.55\end{array}$

Therefore the 9-days bill for rent a car is $320.55