Hi, im stuck with this assignment for algebra2 ?

scenario: summer job

instructions:

the conjecture
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?

model the situation
use the tables of information to answer the questions below.

job

tech internship

amusement park attendant

schedule . - wage

part-time (20 hours/week) . $11.50/hour

full-time (40 hours/week) . -$9/hour + $100 bonus

airplane ticket

deadline . -8 weeks to buy the ticket

cost . $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

tech internship

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)

4. for each job, write an inequality that represents the number of hours alex could work before the trip. (1 point)

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

6. on the graph below, sketch your equation from question 2 that represents the money alex could earn at the job at the amusement park. (2 points)

7. on the graph above, now sketch your inequality from question 4 that represents the number of hours alex could work at the amusement park. (1 point)

8. on the graph above, now sketch your inequality from question 5 that represents the amount of money alex needs to earn. (1 point)

9. can alex make enough money for the plane ticket by working at the amusement park? how does the graph support your answer? (2 points)

10. in the graph below, sketch your function that represents the money alex could earn at the tech internship. (2 points)

11. on the graph above, now sketch your inequality that represents the number of hours alex can work at the internship. (1 point)

12. on the graph above, now sketch your inequality that represents the amount of money alex needs to earn. (1 point)

13. can alex make enough money for the ticket by working at the internship? how does the graph support your answer? (2 points)

making a decision

14. comparing the two graphs, do you think alex picked the right job? which job should alex take? explain your thinking. (1 point)