Question

An SUV averages 16.5 miles per gallon. The maximum average number of miles that can be driven on a full tank of gas is 363 miles. Write and solve an inequality that represents the number of gallons in a tank
30 points - please help

Answer 1

Answer:

$g\leq 22$

Step-by-step explanation:

Let number of gallons in tank be 'g'

We know that maximum possible number of Miles per tank of fuel are 363. This is called the fuel range of the car when gas tank is full

For every gallon which is being utilized there is a decrease in range by 16.5 Miles

Hence the highest possible gallons of tank will be when the car gives full range.

Hence range is function of gallons and equation can be written as follows:

$Range (g) = 363-16.5(g) \geq 0$

Solving for g

$g \leq \frac{363}{16.5}$

$g \leq 22$

Which means that maximum possible fuel in SUV can be 22 Gallons