Mabel is comparing the prices of two car rental companies. company a charges $35 per day and an additional $15 as service charges. company b charges $42 per day and an additional $10 as 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 company a and one for company b), define the variable used. (4 points) part b: which company would charge less for renting a car for 6 days? justify your answer. (3 points) part c: how much money is saved by using the services of company a instead of company b to rent a car for 10 days? (3 points) i will give brainliest

A) If we assume the service charges are a one-time charge, we can let x represent the number of days of rental and a(x) and b(x) the charges for company A and company B, respectively. We are given the initial value and the rate per day in each case, so we can simply write down the equations:

... a(x) = 15 + 35x

... b(x) = 10 + 42x

B) Company A charges less for any rental lasting 1 day or longer. The total for the 1st day (50 vs 52) is less, and the rate per day is less for company A.

C) The difference in cost is ...

... b(x) - a(x) = (10 +42x) -(15 +35x) = 7x -5

so for 10 days, company A costs 7·10 -5 = 65 dollars less

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step-by-step explanation:

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-12 -5(x + 4) = 3x

-12 - 5x - 20 = 3x

-12 - 20 - 5x = 3x

-32 - 5x = 3x

    + 5x   + 5x

-32 = 8x

8         8

- 4= x