Bunuel wrote:
Molly took a car for rent for her vacation trip. The company that rents the car decides its cost using the function \(C(x) = x + 5(y - 5)\), where x is the base price and y is the distance travelled in miles travelled. If Molly paid a total of $250, what is the distance she travelled?
(1) Had Molly travelled double the distance than her current trip, she would have paid $350
(2) The base price is $175
From the question, we have 250=x+5(y-5) --> 250=x+5y-25 --> x+5y-275=0.
We are asked to find the value of y.
Evaluating statement (1) alone:
350=x+5(2y-5) --> 350=x+10y-25 --> x+10y-375=0
That along with the equation from the question stem gives us two nonequivalent equations and two variables, so we can solve for each.
Do we have enough information to find y. Yes. AD.
Evaluating statement (2) alone:
If the base price is $175, we know the additional cost for the miles driven was $75. 75=5(y-5).
Do we have enough information to find y. Yes. D.
Answer choice D
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27 May 2022, 02:41
67%
(01:44)
correct 
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