Marlow is comparing the prices of two truck rental companies. Company A charges $3 per hour and an additional $75 as service charges. Company B charges $2 per hour and an additional $85 as service charges.

A.

Company A:

T=3h + 75

Company B:

T=2h+85

B.Company A charges less than company B

C. $7 is saved by using company A instead of company B to rent a truck for 3 hours

Step-by-step explanation:

Marlow is comparing the prices of two truck rental companies. Company A charges $3 per hour and an additional $75 as service charges. Company B charges $2 per hour and an additional $85 as service charges.

Part A: Write an equation to represent each company's total charges for renting a truck for a certain number of hours. For both equations (one for Company A and one for Company B), define the variable used.

Part B: Which company would charge less for renting a truck for 5 hours? Justify your answer.

Part C: How much money is saved by using the services of Company A instead of Company B to rent a truck for 3 hours?

Let

Total charges =T

Charge per hour=h

Service charge=s

Company A charges $3 per hour and an additional $75 as service charges.

T=3h + s

s=$75

T=3h + 75

Company B charges $2 per hour and an additional $85 as service charges.

T=2h+s

s=85

T=2h+85

A.

Company A:

T=3h + 75

Company B:

T=2h+85

B. When h=5 hours

Company A:

T=3h + 75

=3(5) + 75

=15 + 75

=$90

Company B:

T=2h+85

=2(5) + 85

=10 + 85

=$95

Company A charges less than company B

C. When h=3 hours

Company A:

T=3h + 75

=3(3) + 75

=9 + 75

=$84

Company B:

T=2h+85

=2(3) + 85

=6 + 85

=$91

Company B - company A

=$91 - $84

=$7

$7 is saved by using company A instead of company B to rent a truck for 3 hours

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: