Question

Are two friends Bow and Daniel had just bought their first cars. The equation y equals 31.5 x represents the number of miles Daniel can drive his car for every x gallons of gas Bow uses 9 gallons of gas to drive 256.5 miles in his car?

A) 117.0
B) 221.67
C) 14.29
D) 325.0

Answer 1

Using the equation y = 31.5x for Daniel's car, we determined that with 9 gallons of gas, Daniel can drive 283.5 miles. The options provided in the question do not match this calculated figure.

Step-by-step explanation:

To solve this problem, we will use the equation provided for Daniel's car, y = 31.5x, and apply it to Bow's car usage. Since we know Bow uses 9 gallons of gas to drive 256.5 miles, we can set x to 9 gallons in Daniel's equation to find out how many miles Daniel can drive with the same amount of gas.

Thus, Daniel's mileage for 9 gallons is:

y = 31.5 × 9

y = 283.5 miles

This isn't one of the options provided, which suggests there may be an error in either the question or the information given. However, based on the given equation and numbers, this is the correct calculation for Daniel's miles with 9 gallons of gas.