Question

Avery is renting a car and needs to compare the prices of two car rental companies. Hertz charges $42 per day and an additional $32 in service charges. Enterprise charges $46 per day and an additional $24 in service charges. Part A: Write an equation to represent each company's total charges for renting a car for a certain number of days. For both equations (one for Hertz and one for Enterprise), define the variable used. Part B: Which company charges more for renting a car for 6 days? Justify your answer.Part C: How much money does Avery save by renting a car from Hertz instead of Enterprise for 4 days? Show your work or explain your answer. If You Know The Answer Please Answer This Is Due TODAY so please HELP!!!!!!!

Answer 1

Answer:

When renting a car with unlimited mileage, it is not necessary to pay for mileage. The charge is the same whether driving 20 miles or 2,000. This is a benefit to drivers who plan to take a rental car on a long trip or cover a large distance, for example, if a family is going on a cross country vacation

Answer 2

Given:

Fixed amount charged by Hertz = $32

Amount per day charged by Hertz = $42

Fixed amount charged by Enterprise = $24

Amount per day charged by Enterprise = $46

To find:

a) Equations that represent each company's total charges for renting a car for a certain no. of days.

b) The company that charges more for 6 days.

c) The amount saved by Avery by renting a car from Hertz instead of Enterprise for 4 days.

Solution:

(a) Let $x$ be the no. of days that Hertz charges and let $y$ be the no. of days that Enterprise charges.

For one day Hertz charge $42 and an additional amount of $32 as a service charge. So for $x$ no. of days, Hertz charges $\ (42x+32)$.

For one day Enterprise charges $46 and an additional amount of $24 as a service charge. So for $y$ no. of days, Enterprise charges $\ (46y+24)$

Hence, the equation that represents Hertz company's total charges for renting a car for $x$ no. of days is $(42x+32)$ and the equation that represents Enterprise company's total charges for renting a car for $y$ no. of days is $(46y+24)$

(b) Here, the no. of days is given as 6. We need to determine which company charges more for 6 days.

$x=y=6$

Substituting these values in the equations formed.

$42x+32=42(6)+32=\ 284$

$46y+24=46(6)+24=\ 300$

Here, the second equation gives a higher value as $300>284$. So, Enterprise charges more for renting a car for 6 days.

(c) Here, the no. of days is given as 4. Substitute $x=y=4$ and subtract the rent for Hertz from rent for Enterprise.

$42x+32=42(4)+32=\ 200$

$46y+24=46(4)+24=\ 208$

Hence, rent to pay Enterprise for 4 days is $208 and rent to pay Hertz for 4 days is $200.

The amount Avery saves = $208-200=\ 8$

Thus, Avery saves $8 by renting a car from Hertz instead of Enterprise for 4 days.

The following are the answers:

(a) The equation that represents Hertz company's total charges for renting a car for $x$ no. of days is $(42x+32)$ and the equation that represents Enterprise company's total charges for renting a car for $y$ no. of days is $(46y+24)$.

(b) Enterprise charges more for renting a car for 6 days which is $300.

(c) Avery saves $8 by renting a car from Hertz instead of Enterprise for 4 days.