Answer:
29 minutes
Explanation:
Given
![Total = \$43.25](https://img.qammunity.org/2021/formulas/mathematics/high-school/83j3xm2epjq8ssxfabu8qo086er89udioe.png)
![Entrance\ Fee = \$7](https://img.qammunity.org/2021/formulas/mathematics/high-school/9adr9598xl4g2lj5x4okepjdxd7mvw2p17.png)
![Per\ Minute = \$1.25](https://img.qammunity.org/2021/formulas/mathematics/high-school/xtadmkpj8uh4ee28r0pj3cs0pxkcs0g555.png)
Required
Determine the number of minutes (t) that he was on the trampoline.
This can be expressed as:
![Total\ Payment = Entrance\ Fee + Amount\ per\ minute * t](https://img.qammunity.org/2021/formulas/mathematics/high-school/erdxuz1ifq0sza8wa2usyt9wb6on1rf44v.png)
Where t represents the number of minutes
Substitute values for Total, Entrance Fee and Amount per minute
![43.25 = 7 + 1.25 * t](https://img.qammunity.org/2021/formulas/mathematics/high-school/oe0j2lxrpb6darmjry9tq7v1ptmye0a8my.png)
![43.25 = 7 + 1.25t](https://img.qammunity.org/2021/formulas/mathematics/high-school/4h8tzwnbnlb3k0gzhnp2w56zxpk9bayclv.png)
Solving further to get the value of t, we have:
![1.25t = 43.25 - 7](https://img.qammunity.org/2021/formulas/mathematics/high-school/zgfa0h6ck9efcssf5cz5jr90inwi973ffe.png)
![1.25t = 36.25](https://img.qammunity.org/2021/formulas/mathematics/high-school/zkyrz9dqs8l6c1hgi3p2e3r050qu2k14dr.png)
![t = 36.25/1.25](https://img.qammunity.org/2021/formulas/mathematics/high-school/ei6123rp6mgwtevjq31ryvixkn7fsl3ekc.png)
![t = 29](https://img.qammunity.org/2021/formulas/mathematics/college/lpxxlwm2xvnkwvk1gju3ztd35la6qs3opx.png)