The expression we have is:
![9d-4f](https://img.qammunity.org/2023/formulas/mathematics/college/ocjcn789bjs2m311lsqng47s2hx95c35u0.png)
And we are given values for d and f:
![\begin{gathered} d=9 \\ f=8 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/uw84vvwkjmmskddkfvy29qexjjmtp4gr5m.png)
The first step will be to substitute these values into the expression
Step 1. Substituting d=9 and f=8 into the given expression:
![9d-4f=9(9)-4(8)](https://img.qammunity.org/2023/formulas/mathematics/college/4lg5jhedkmva62ozo9rn5tvw19969tbte9.png)
Step 2. Simplify the multiplications.
9(9) is equal to 81 and 4(8) is equal to 32, thus:
![9d-4f=81-32](https://img.qammunity.org/2023/formulas/mathematics/college/ygr2qtxbkhjipnxged9ue3q9s44jh24gbk.png)
Step 3. The last step is to subtract 81-32:
![9d-4f=49](https://img.qammunity.org/2023/formulas/mathematics/college/neldmwocb9wyy0qvka5mnrpe7wpc5e506d.png)
This result is shown in option b.
Answer:
b) 49