To determine how many more miles she will go if she buys good gas instead of Go gas, we need to compare the mileage per weight (MPW) for each type of gas.
For Go gas:
MPW = Weight / Price
For Good gas:
MPW = Weight / Price
We can calculate the MPW for each type of gas using the given data:
Go gas:
MPW = 5.5 / 170.5 = 0.0322
MPW = 10.2 / 316.2 = 0.0323
MPW = 12.0 / 372.0 = 0.0323
MPW = 14.5 / 449.5 = 0.0322
Good gas:
MPW = 3.75 / 127.5 = 0.0294
MPW = 9.4 / 319.6 = 0.0294
MPW = 12.6 / 428.4 = 0.0294
MPW = 16.0 / 544.0 = 0.0294
From the calculations, we can see that the MPW for both types of gas is approximately 0.032 (rounded to 3 decimal places) and the MPW for Good gas is slightly lower at approximately 0.029.
To determine how many more miles she will go, we can calculate the difference in MPW between Good gas and Go gas:
Difference in MPW = MPW (Good gas) - MPW (Go gas)
= 0.029 - 0.032 = -0.003
This means that Good gas has a MPW that is approximately 0.003 less than Go gas. Therefore, she will go approximately 0.003 fewer miles per weight of Good gas compared to Go gas.
Note: The interpretation of "more miles" in the given question is not clear. If the intention is to find out how many more miles she will go overall, regardless of the weight or price, then more information would be needed such as the average mileage per gallon for each type of gas and the size of her tank or the amount of gas she plans to purchase.
Go gas
Weight | Price
5.5 | 170.5
10.2 | 316.2
12.0 | 372.0
14.5 | 449.5
Good gas
Weight | Price
3.75 | 127.5
9.4 | 319.6
12.6 | 428.4
16.0 | 544.0
How many more miles will she go if she buys good gas instead of Go gas?
1 answer
1 answer