David should buy Car A because it covers more miles in one gallon than Car B
Step-by-step explanation:
Given
Distance traveled by Car A = ![d_A = 702\ miles](https://tex.z-dn.net/?f=d_A%20%3D%20702%5C%20miles)
Gallons used by Car A = ![g_A = 12](https://tex.z-dn.net/?f=g_A%20%3D%2012)
Distance traveled by Car B = ![d_B = 873\ miles](https://tex.z-dn.net/?f=d_B%20%3D%20873%5C%20miles)
Gallons used by Car B = ![g_B = 15](https://tex.z-dn.net/?f=g_B%20%3D%2015)
In order to find the distance traveled on one gallon, we will divide the total distance by number of gallons
So,
Distance traveled by Car A in one gallon = ![\frac{702}{12} =58.5\ miles\ per\ gallon](https://tex.z-dn.net/?f=%5Cfrac%7B702%7D%7B12%7D%20%3D58.5%5C%20miles%5C%20per%5C%20gallon)
Distance traveled by Car B in one gallon = ![\frac{873}{15} = 58.2\ miles\ per\ gallon](https://tex.z-dn.net/?f=%5Cfrac%7B873%7D%7B15%7D%20%3D%2058.2%5C%20miles%5C%20per%5C%20gallon)
We can see that Car A travels more distance in one gallon that is 58.5 miles per gallon
So,
David should buy Car A because it covers more miles in one gallon than Car B
Keywords: Fractions, Unit rate
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