Question

Aubrey is deciding between two truck rental companies. Company A charges aninitial fee of $80 for the rental plus $1 per mile driven. Company B charges an initialfee of $50 for the rental plus $2 per mile driven. Let A represent the amountCompany A would charge if Aubrey drives x miles, and let B represent the amountCompany B would charge if Aubrey drives x miles. 1) Write an equation for each situation, in terms of x 2) determine the interval of miles driven for which Company A is cheaper than Company B.Note: The interval will only apply for valid values of or in the domain

Answer 1

Answer:

A = 80 + x

B = 50 + 2x

x > 30 miles (Interval of miles driven for which Company A is cheaper than Company B.)

Explanations:

The initial fee of company A = $80

Charge per mile fo company A = $1

Initial fee of company B = $50

Charge per mile of company B = $2

If A represents the amount company A would charge

If B represents the amount company B would charge

If x is the number of miles driven:

A = 80 + x(1)

A = 80 + x

B = 50 + x(2)

B = 50 + 2x

The interval at which Company A is cheaper than company B

A < B

80 + x < 50 + 2x

80 - 50 < 2x - x

30 < x

x > 30

Company A is cheaper than Company B for x > 30 miles