Darius filled up his gas tank with 24 gallons of gas. For each mile that he drives, he uses 0.06 gallons of gas. How may gallons of gas are left in the tank after driving 240 miles?

Step-by-step explanation:

Step one:

Given that the capacity of the gas tank is 24 gallons.

we know that 1 mile will consume 0.06 gallons

therefore x miles will consume 0.06x gallons.

the consumption for any distance is given as

0.06x gallons.

Step two:

if x=240 miles

then the gallons consume will be

0.06(240)=14.4 gallons

Step three:

the remaining gallons of gas in the tank will be

24-14.4=9.6 gallons

The reamining gallons will be 9.6 gallons

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: