Question

Consider the relationship 9r + 8t = 18. a. Write the relationship as a function r = f(t). Enter the exact answer. f(t) = 1 b. Evaluate f(-9). f(-9) =c. Solve f(t)=34t=

Answer 1

`\begin{gathered} 9r+8t=18 \\ r=f(t) \end{gathered}`
`\begin{gathered} 9r+8t=18 \\ 9r=18-8t \\ r=2-(8)/(9)t \\ f(t)=2-(8)/(9)t \end{gathered}`
`\begin{gathered} f(-9)=2-(8)/(9)*-9 \\ f(-9)=2+8=10 \end{gathered}`
`\begin{gathered} f(t)=34 \\ 2-(8)/(9)t=34 \\ -(8)/(9)t=32 \\ \text{cross multiply} \\ -8t=288 \\ t=(288)/(-8) \\ t=-36 \end{gathered}`