Question

When mrs chang filled the gas tank in her truck, the gas gauge was at Empty. She spent 75$ for 20 gallons of gas. The next time the gas gauge was at Empty, dhe had driven over 480 miles. Write the ratios you can use to find the two unit rates that concerns most drivers: dollars per gallon and miles per gallon. Then find the unit rates. Explain your reasoning.

Answer 1

Mrs. Chang's truck runs at a unit rate of $3.75 per gallon of gas and 24 miles per gallon. These rates are found by dividing the total cost by gallons for the cost rate, and total miles by gallons for the efficiency rate.

Step-by-step explanation:

To find the unit rates of dollars per gallon and miles per gallon for Mrs. Chang's truck, we can use the ratios provided by the information given. First, to find the cost per gallon of gas, we divide the total amount spent by the number of gallons:

1. Cost per gallon = Total cost / Number of gallons = $75 / 20 gallons = $3.75 per gallon
   

2. 
   To calculate the miles per gallon, we divide the number of miles driven by the number of gallons it took to fill the tank when it was empty again:
   

   Miles per gallon = Total miles driven / Number of gallons = 480 miles / 20 gallons = 24 miles per gallon
   

By calculating these unit rates, drivers can determine both the price efficiency of their gasoline purchases and the fuel efficiency of their vehicle.

Answer 2

24 miles per gallon because 480 divided by 20=24 and 3.75 dollars per gallon because 75 divided by 20 =3.75