road trip\nthe jensen family took a trip in september. sally is calculating the gas mileage in miles per…

road trip\nthe jensen family took a trip in september. sally is calculating the gas mileage in miles per gallon for her dads suv. when he fills the tank, her dad records the miles on the suv as 24,033. her dad pays $83.58 to fill up the empty gas tank of the suv.\nwrite your answers on another piece of paper. show all of your work to receive full credit.\npart a\nwhat is the size of the suvs tank in gallons? round your answer to the nearest whole number.\npart b\nat the destination, there was a quarter - tank of gas left in the vehicle and the miles were recorded as 24,297. use a ratio equation to determine the gas mileage in miles per gallon for the trip. round your answer to the nearest whole number.

road trip\nthe jensen family took a trip in september. sally is calculating the gas mileage in miles per gallon for her dads suv. when he fills the tank, her dad records the miles on the suv as 24,033. her dad pays $83.58 to fill up the empty gas tank of the suv.\nwrite your answers on another piece of paper. show all of your work to receive full credit.\npart a\nwhat is the size of the suvs tank in gallons? round your answer to the nearest whole number.\npart b\nat the destination, there was a quarter - tank of gas left in the vehicle and the miles were recorded as 24,297. use a ratio equation to determine the gas mileage in miles per gallon for the trip. round your answer to the nearest whole number.

Answer

Explanation:

Step1: Calculate the size of the tank (Part A)

We know that the cost to fill the tank is (C = 83.58) dollars and the price per gallon is (p=3.79) dollars per gallon. Using the formula (V=\frac{C}{p}), where (V) is the volume of the tank. [V=\frac{83.58}{3.79}\approx22.05\approx22] gallons.

Step2: Calculate the gas mileage (Part B)

First, find the number of miles driven. The initial mileage is (m_1 = 24033) and the final mileage is (m_2=24297). So the miles driven (d=m_2 - m_1=24297 - 24033=264) miles. The tank size (V = 22) gallons. At the destination, there is (\frac{1}{4}) of the tank left. So the gas used (g=(1-\frac{1}{4})V=\frac{3}{4}\times22 = 16.5) gallons. Using the ratio for gas - mileage (r=\frac{d}{g}), where (r) is the gas mileage (miles per gallon). [r=\frac{264}{16.5}=16] miles per gallon.

Answer:

Part A: (22) gallons. Part B: (16) miles per gallon.