Question

Car rental agency A charges $50 per day plus 10 cents per mile driven. Agency B charges $20 per day plus 30 cents per mile driven. For a one-day rental it is cheaper to rent from agency A if you drive more than
A) 50 miles.
B) 100 miles.
C) 125 miles
D) 150 miles.

Answer 1

50 miles is the answer

Answer 2

Answer:  Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Cost of car rental agency 'A' = Rs. 50 per day plus 10 cents per mile driven

Cost of car rental agency 'B' = Rs. 20 per day plus 30 cents per mile driven

So, our linear equation for 'A' and 'B' will be respectively:

$50+0.1x\ and\ 20+0.3x$

Here, x denotes the number of miles driven.

So, According to question,

$50+0.1x=20+0.3x\\\\50-20=0.3x-0.1x\\\\30=0.2x\\\\\frac{30}{0.2}=x\\\\150=x$

Hence, For a one-day rental it is cheaper to rent from agency A if you drive more than 150 miles.

Therefore, Option 'D' is correct.