Answer:
1. Under Option A, Zoe would be paid P = <u>20n + 24,000</u>
2. Under Option B, Zoe would be paid P = <u>30n + 14,000</u>
3. Write the equation to be solved to represent the situation when the salary options would be equal: <u>20n + 24,000 = 30n + 14,000</u>
Step-by-step explanation:
For Option A, we have to use the variable <em>n</em> as a placeholder in the equation for the number of training sessions. Since the cost of each training session is $20, we would use 20(n), or 20n. Since there is also an additional salary of $24,000, we would have to add it to our variable and coefficient. So, the final equation would be P = 20n + 24,000.
For Option B, we use the same variable n as the placeholder for the number of training sessions again. Since the cost of each training session is $30, we would use 30(n), or 30n, just like the last equation. Since there is also an additional salary of $14,000, we would have to add it to our variable and coefficient. So, the final equation would be P = 30n + 14,000.
To create an equation that sets each salary as equal, we would take both of our new equations and set them equal to each other. So, it would be 20n + 24,000 = 30n + 14,000.
