Answer:
Stu can travel 38 miles with his $20
Step-by-step explanation:
Given that Stu is riding a cab that charges $2.00 for a ride bus plus $0.55 per mile.
The total amount the cab charges can be represented by the expression:
2 + 0.55m
where m is the number of miles
Stu has only $20, to find the number of miles he can travel without exceeding the limit of his money, we have the inequality:
![2+0.55m\le20](https://img.qammunity.org/2023/formulas/mathematics/college/re6ijqsxjm52wb22f53lsq1dgt1qlpcfze.png)
Solving for m, we have the number of miles
Subtract 2 from both sides of the inequality
![0.55m\le18](https://img.qammunity.org/2023/formulas/mathematics/college/2gsdidok0vpr52sb15uv67t4lcbc5hehaf.png)
Divide both sides by 0.55
![m\le(18)/(0.55)=37.727](https://img.qammunity.org/2023/formulas/mathematics/college/rirxl0e0h6r4ee2qrwagl7twuz6y24a5xn.png)
This is approximately 38 miles