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George wants to rent a car for a road trip with his friends. He checked the rentals with two companies. Company A charges a non-refundable fee of $50 and then also $150 for each day. Company B charges using the function 50(2+1). Compare the two functions. Which function has a great rate of change?

Answer :

MRROYALGO

Answer:

Company A has a greater daily rate

Step-by-step explanation:

Given

Company A

[tex]Base\ Charges=\$50[/tex]

[tex]Daily\ Rate = \$150[/tex]

Company B

[tex]f(x) = 50(2x +1)[/tex]

Required

Determine the company with greater rate

Simplify the expression of company B

[tex]f(x) = 50(2x +1)[/tex]

[tex]f(x) = 50 * 2x + 50 * 1[/tex]

[tex]f(x) = 100x + 50[/tex]

In a linear function:

[tex]f(x) = mx + b[/tex]

m represents the rates.

This implies that the rate of company B is:

[tex]Rate =100[/tex]

and the rate of company A is

[tex]Daily\ Rate = \$150[/tex]

By comparison:

Company A has a greater daily rate

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