Question

The equation can also be used to solve for p when you know the distance. Example 5 Over the weekend, Brady and Jack drove to Lake Superior to go scuba diving. Now, they are ready to go home. Brady has 8 gallons of gas in his car, which gets 20 miles per gallon for gas mileage. He buys $15 worth of gas before they make the return trip. Suppose Brady and Jack were able to travel 410 miles. Use the function to find out how much they paid per gallon of gas. Enter the correct answer. DOPO DONE Find the number of miles Brady can drive as a function of the price of the gas. Clear all Let p = price per gallon of gas (in dollars) and dip) = distance Brady can travel when gas costs p dollars per gallon. distance = miles per gallon total gallons dip) = 20 15 + 8) 15

Answer 1

p = $1.2

Step-by-step explanation:

The equation that relates the distance and the price per gallon of gas is:

`d(p)=20((15)/(p)+8)`

So, if we know that Brady and Jack were able to travel 410 miles, we can replace d(p) by 410:

`410=20((15)/(p)+8)`

So, solving for p, we get:

`\begin{gathered} 410=20((15)/(p))+20(8) \\ 410=(300)/(p)+160 \\ 410-160=(300)/(p)+160-160 \\ 250=(300)/(p) \\ 250p=(300)/(p)\cdot p \\ 250p=300 \\ (250p)/(250)=(300)/(250) \\ p=1.2 \end{gathered}`

Therefore, they paid $1.2 per gallon of gas.