Question: Think About the Process
Stan works as a customer service representative. He knows that the amount in dollars of his yearly bonus is represented by the expression $-0.2x + 361$, where $x$ is the number of complaints customers had about him during the year. To find his bonus if he gets 30 complaints, he substitutes 30 for $x$. What should be his next step? What would his bonus be?
What should be his next step?
A. Use the Distributive Property.
B. Add 30 and 361.
C. Multiply $-0.2$ by 30.
1. **State the problem:**
Stan's yearly bonus is given by the expression $$-0.2x + 361$$ where $x$ is the number of complaints.
We want to find his bonus when $x = 30$.
2. **Substitute the value:**
Replace $x$ with 30 in the expression:
$$-0.2 \times 30 + 361$$
3. **Identify the next step:**
The next step is to multiply $-0.2$ by 30, which corresponds to option C.
4. **Perform the multiplication:**
$$-0.2 \times 30 = -6$$
5. **Calculate the bonus:**
$$-6 + 361 = 355$$
6. **Final answer:**
Stan's bonus when he has 30 complaints is $355$.
**Summary:**
- Substitute $x=30$ into the expression.
- Multiply $-0.2$ by 30.
- Add the result to 361.
Therefore, the correct next step is to multiply $-0.2$ by 30, and the bonus is $355$.