Question

A taxi charges a flat rate of Rs. 1.75, plus an additional Rs. 0.65 per mile. If Erica has at most Rs.10 to spend on the cab ride, how far could she travel?

• A. No more than 14.65 miles
• B. No more than 12.69 miles
• C. No less than 12.69 miles
• D. No less than 14.65 miles

Answer 1

The correct option is B

No more than 12.69 miles

Let x be miles traveled.

Then $1.75+0.65x\le 10$

where 1.75 is the fixed rate and for every mile 0.65 is charged.

$\Rightarrow 0.65x\le 10-1.75$

$\Rightarrow 0.65x\le 8.25$

$\Rightarrow x\le 12.69$

So, Erica could travel no more than 12.69 miles.