![7.75+0.5x\leq15\text{ Inequality}](https://img.qammunity.org/2023/formulas/mathematics/college/acdo2g840xqjlg3k474isbm7frn83sp7wm.png)
Step-by-step explanation
Step 1
Let x represents the numbers of rides you can take
so,
Admission to the fair costs $7.75. Each ride costs you $0.50. You have $15 to spend at the fair including admission
![\begin{gathered} \text{total spent=7.75+0.5x} \\ \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/iiuvuzly6i4u95f3fuhfldp537bff7fiw4.png)
but, you only have $15. so the total spent must be equal or less than $15
![\begin{gathered} \text{total spent}\leq15 \\ \text{replace} \\ 7.75+0.5x\leq15\text{ Inequality} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/nj6f07e0dq7kvs7vfedyxhfj4kannspedq.png)
i hope this helps you