Ruby is deciding between two truck rental companies. Company A charges an initial fee of $70 for the rental plus $2.50 per mile

Question

3 years ago

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Ruby is deciding between two truck rental companies. Company A charges an initial fee of $70 for the rental plus $2.50 per mile

driven. Company B charges an initial fee of $90 for the rental plus $1.50 per mile driven. Let A(x)A(x) represent the amount Company A would charge if Ruby drives xx miles, and let B(x)B(x) represent the amount Company B would charge if Ruby drives xx miles. Write the equation for each function and determine which company would be cheaper if Ruby needs to drive 15 miles with the rented truck.

Mathematics

1 answer:

almond37 [142] · Answer 1 · 2022-06-12T06:47:30+03:00

The equation of each function

A(x) = 2.5 x + 70

B(x) = 1.5 x + 90

Company A would be cheaper if Ruby needs to drive 15 miles

Step-by-step explanation:

Ruby is deciding between two truck rental companies

Company A charges an initial fee of $70 for the rental plus $2.50 per mile driven
Company B charges an initial fee of $90 for the rental plus $1.50 per mile driven
A(x) represents the amount company A would charge if Ruby drives x miles, and B(x) represents the amount company B would charge if Ruby drives x miles

Write the equation for each function and determine which company would be cheaper if Ruby needs to drive 15 miles with the rented truck

∵ Company A charges an initial fee of $70 for the rental

∵ It costs $2.5 per mile driven

∵ A(x) represents the amount would charge if Ruby drives x miles

∴ A(x) = 2.5 x + 70

∵ Company B charges an initial fee of $90 for the rental

∵ It costs $1.5 per mile driven

∵ B(x) represents the amount would charge if Ruby drives x miles

∴ B(x) = 1.5 x + 90

The equation of each function

A(x) = 2.5 x + 70

B(x) = 1.5 x + 90