Question

Find the number of miles that Morgan can drive, d(s), as a function of the amount she spends on gas, s. d(s) = ________ Over the weekend, Rachel and Morgan drove to Chicago to go shopping. Now they're preparing to go home. Morgan needs gas for her jeep, which gets 27 miles per gallon for gas mileage. When she stops at the gas station, she already has 8 gallons of gas in her tank. she buys more gas for $1.50 per gallon.

Answer 1

In the given data:

Let s gallons is the total quantity of gas thay required.

When they rich at the gas station, they have already 8 gallons of gas

So, now, they need = s- 8 gallons of gas

Morgan needs gas for her jeep, which gets 27 miles per gallon for gas mileage

that means in 1 gallons of gas they travel = 27 miles

Cost of 1 gallon of gas = $1.50

The cost of s miles = $(1.50)s

But she already had 8 gallons,

than cost of 8 gallons = 8(1.50)

So, Now thay have to pay for s -8 gallons : (1.50)s - 8(1.50)

Since the cost on spending on gas is d(s)

So, d(s) = 8(1.50)-(1.50)s

d(s) = s(12-1.50)

d(s)=10.5s

d(s) = 10.5 (s)

he number of miles that Morgan can drive, d(s), as a function of the amount she spends on gas, s is d(s) = 10.5(s)