The function given for the weekly pay $P(t)$ of an employee who works $t$ hours per week is:

$P(t) = 50t$

To find Jessica’s pay for the week when she worked 24 hours, substitute $t = 24$ into the function:

$P(24) = 50(24)$

Now, multiply:

$P(24) = 1200$

So, Jessica's pay for the week is $1200.

Would you like more details or have any questions?

Here are some related questions:

1. How would Jessica's pay change if she worked 30 hours instead?
2. What is the pay for someone who works the full 40 hours in a week?
3. How would you calculate the pay if the hourly rate changed to $60 per hour?
4. What is the minimum number of hours an employee must work to earn $1000?
5. How much would Jessica earn in a month (4 weeks) at this hourly rate, working the same hours each week?
6. How would the function change if there were overtime pay after 40 hours?
7. What is the total amount an employee would earn after working for 3 consecutive weeks at 24 hours each week?
8. How does this function relate to real-life situations of part-time work?

Tip: When working with linear functions like this, the slope represents the rate of change (in this case, the hourly wage), and the function directly scales with the input value (hours worked).