Question

John needs to take a cab uptown and only has y dollars. The cab company charges a flat fee of $2.25 plus $0.55 per mile. If John has $12.52 and he finds a cab with the same flat fee that only charges $0.45 per miles, what is the maximum number of miles he will be able to travel, t the nearest tenth of a mile?

Answer 1

x ≤ 22.8 miles

John will be able to travel the maximum distance of 22.8 miles.

Explanation:

I hope this helps

Answer 2

Maximum distance covered by John = 22.8 miles

Explanation:

The cab company charges a flat fee of $2.25 plus $0.55 per mile.

Amount of money John has = $y

Let the number of miles traveled in $y = x miles

If John finds a cab charging same fee and $0.45 per mile,

y ≤ 2.25 + 0.45x

y - 2.25 ≤ 0.45x

`x\leq ((y-2.25))/(0.45)`

Therefore, inequality representing the maximum distance covered by John,

`x\leq ((y-2.25))/(0.45)`

If, y = $12.52

`x\leq ((12.52-2.25))/(0.45)`

x ≤ 22.8 miles

Therefore, John will be able to travel the maximum distance = 22.8 miles.