A family went on vacation and used 45.3 gallons of gasoline to travel 150 miles. How many total gallons of gasoline will they need to travel 200 more miles?

a.) 15.1 gallons

c.) 60.4 gallons

b.) 90.6 gallons

d.) 105.7gallons

Respuesta :

Answer:

d) [tex]105.7\ \text{gallons}[/tex]

Step-by-step explanation:

[tex]150\ \text{miles}[/tex] requires [tex]45.3\ \text{gallons of fuel}[/tex]

[tex]1\ \text{mile}[/tex] requires [tex]\dfrac{45.3}{150}\ \text{gallons of fuel}[/tex]

[tex]200\ \text{miles}[/tex] requires [tex]200\times \dfrac{45.3}{150}=60.4\ \text{gallons of fuel}[/tex]

So, total amount of gasoline required for the trip is [tex]60.4+45.3=105.7\ \text{gallons}[/tex].