To understand what the constant term in the given expression represents, let's carefully analyze the expression:
[tex]\[
\frac{200 x}{9x + 1} + 900
\][/tex]
### Step-by-Step Explanation:
1. Identify the Expression Structure:
- The expression is composed of two main parts:
[tex]\[
\frac{200 x}{9 x + 1} \quad \text{and} \quad 900
\][/tex]
The first part, [tex]\(\frac{200 x}{9 x + 1}\)[/tex], depends on the variable [tex]\(x\)[/tex], which represents the number of online orders in a month.
2. Constant Term:
- The second part, [tex]\(900\)[/tex], is a constant and does not depend on the number of online orders.
3. Zero Online Orders:
- To understand the role of the constant term, consider what happens when there are no online orders, i.e., when [tex]\(x = 0\)[/tex].
4. Substitute [tex]\(x = 0\)[/tex]:
- Substitute [tex]\(x = 0\)[/tex] into the expression:
[tex]\[
\frac{200 \cdot 0}{9 \cdot 0 + 1} + 900 = \frac{0}{1} + 900 = 0 + 900 = 900
\][/tex]
- This shows that when there are no online orders, the total earnings are 900.
### Conclusion:
- The constant term 900 in the expression represents the amount Kayla's bakery earns when there are no online orders. This is the fixed amount that Kayla's bakery earns regardless of the number of online orders.
### Answer:
B. The constant 900 represents the amount Kayla's bakery earns in a particular month when there are no online orders.
