Your friend Alex has won a scholarship to study abroad. (Congratulations!) Alex has only 8 weeks to earn enough money to buy a plane ticket, and he wants to work at an amusement park over the summer to achieve this goal.

Make a Prediction
1. Do you agree with Alex's choice of jobs? Why or why not? (1 point)

A) No, he isn't getting paid enough for the hours he works and its below minimum wage.

Model the Situation
Use the tables of information to answer the questions below.
Job
Tech internship
Amusement park attendant
Schedule
Part-time (20 hours/week)
Full-time (40 hours/week)
Wage
$11.50/hour
$9/hour + $100 bonus

Airplane ticket
Deadline
Cost
8 weeks to buy the ticket
$2200

You want to find the income line that represents how much Alex makes, where
x = hours worked
y = money earned

2. Complete the following table to find the equations for the money Alex will earn at each job.
(3 points: 1 point per column)
Job
Slope = m
y-intercept = (x, y)
Point-slope form
Amusement park
9

Tech internship
11.5

What Are the Constraints?
3. How much time does Alex have? For each job, use information from the table to calculate the number of hours Alex could work before he has to buy his plane ticket. (1 point)
A) Alex has 8 weeks so 1344 hours.

4. For each job, write an inequality that represents the number of hours Alex could work before the trip.
(1 point)
Amusement park:

Job b:

5. Write an inequality that represents the amount of money Alex needs to earn. (1 point)