Answer:
Y=4000x+9000
Step-by-step explanation:
Using the format y=mx+b. We know 9000 is the one time amount so it is B. And we know 4000 is the amount each month, so the slope or x.
Answer:
To formulate an equation representing Tom's signing bonus and monthly payments, follow these steps:
1. **Define the Variables**:
- Let \( B \) represent the total signing bonus, which is $9000.
- Let \( P \) represent the monthly payment amount, which is $4000.
- Let \( t \) be the number of months.
2. **Formulate the Equation**:
Tom's signing bonus is paid out over several months. The equation representing the total payment received by Tom after \( t \) months is:
\[
\text{Total Payment} = B + P \cdot t
\]
Here:
- \( B \) is the initial signing bonus of $9000.
- \( P \) is the monthly payment of $4000.
For each month, Tom receives an additional $4000. Therefore, the total amount received after \( t \) months is:
\[
\text{Total Amount Received} = 9000 + 4000 \cdot t
\]
### Example
If you want to calculate the total amount received after, say, 3 months, substitute \( t = 3 \) into the equation:
\[
\text{Total Amount Received} = 9000 + 4000 \cdot 3 = 9000 + 12000 = 21000
\]
So, after 3 months, Tom would have received a total of $21,000.