Answer:
$76.03
Explanation:
Given: Michael and his friend decide to take the friend's car, which gets 29 miles per gallon, on a 875-mile trip.
To Find: the cost of gasoline on the trip if the current cost per gallon at the pump is $2.52.
Solution:
Total length of Trip
![\text{miles}](https://img.qammunity.org/2020/formulas/mathematics/high-school/wz4pgwo0kv2anqrsjtv8lwwcm408efwz5e.png)
distance traveled in
gallon of gasoline
![\text{miles}](https://img.qammunity.org/2020/formulas/mathematics/high-school/wz4pgwo0kv2anqrsjtv8lwwcm408efwz5e.png)
Cost of
gallon of gasoline
![=\$2.52](https://img.qammunity.org/2020/formulas/mathematics/high-school/i216j266cwc5eo72ermxnrjq87ynp6fjej.png)
Now,
quantity of gasoline required
![=\frac{\text{distance to be traveled}}{\text{distance traveled in 1 gallon gasoline}}](https://img.qammunity.org/2020/formulas/mathematics/high-school/xwudtauip98nx71cdp9opgrit97st9exrd.png)
putting values,
![(875)/(29)](https://img.qammunity.org/2020/formulas/mathematics/high-school/3pte1t3v72qh84lcb3vqzc16ya168009af.png)
![\text{gallon}](https://img.qammunity.org/2020/formulas/mathematics/high-school/72sd1kkjsfu0qdi227st29v30ab5gzbagt.png)
cost of gasoline
![=(\text{quantity of gasoline})*(\text{cost per gallon})](https://img.qammunity.org/2020/formulas/mathematics/high-school/76ag17f2xcv4rqv85zbada6p4zazges1ob.png)
![\$76.03](https://img.qammunity.org/2020/formulas/mathematics/high-school/h8cs8xgw6wlbipaeuhh21fzuur6dp5rsko.png)
Hence the cost of gasoline on the trip is
![\$76.03](https://img.qammunity.org/2020/formulas/mathematics/high-school/h8cs8xgw6wlbipaeuhh21fzuur6dp5rsko.png)