Question

ayden has 5.5 gallons of gasoline in his suv’s fuel tank before it starts refilling. the capacity of the fuel tank in aydens suv is 21 gallons. what is an equation that relates the amount of gasoline ayden purchased, p, in gallons and the amount of gasoline in the fuel tank, A after the purchase? what values of P could be viable solutions?

Answer 1

`0<p\leq15.5`

Explanation:

Amount of gasoline in the tank is 5.5 gallons

21 gallons is the capacity of the fuel tank in the car

A is the amount of gasoline in the fuel tank after purchase which will be less than or equal to 21 gallons.

So the equation will be

`5.5+p\leq A\\\Rightarrow 5.5+p\leq 21\\\Rightarrow p\leq 21-5.5\\\Rightarrow p\leq 15.5`

So, the value of p is in the range of
`(0,15.5]` or
`0<p\leq15.5`.