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

Answer:

Maximum distance covered by John = 22.8 miles

Step-by-step 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

$x\leq \frac{(y-2.25)}{0.45}$

Therefore, inequality representing the maximum distance covered by John,

$x\leq \frac{(y-2.25)}{0.45}$

If, y = $12.52

$x\leq \frac{(12.52-2.25)}{0.45}$

x ≤ 22.8 miles

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