The family wants to determine if they can drive to the national park using Just one tank of gas in their car. Determine whether the Fullers can reach the national park. Show your work or explain your answer.

Respuesta :

Answer:

The Fullers can reach the national park

Step-by-step explanation:

The complete question is

The Fuller family wants to drive to a national park. Some information about their trip is given in the  table below.

Distance to national park 515 miles

Car’s gas tank capacity 20 gallons

Average gas mileage for car 26 miles per gallon

The family wants to determine if they can drive to the national park using just one tank of gas in their  car. Determine whether the Fullers can reach the national park. Show your work or explain your  answer.

we know that

The Average gas mileage for the car is 26 miles per gallon

That means

With 1 gallon the car runs 26 miles

so

using a proportion

Find out how many miles the car runs with 20 gallons (one tank of gas)

[tex]\frac{26}{1}\ \frac{miles}{gallon}=\frac{x}{20}\ \frac{miles}{gallons}\\\\x=26(20)\\\\x=520\ miles[/tex]

Compare with the distance to the national park

[tex]520\ miles>515\ miles[/tex]

therefore

The Fullers can reach the national park