Question

I just cant with word problems. PLEASE help.

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

His plane ticket cost $2,200. The tech internship is part time 20 hr/wk with $11.50/hr, where as the amusement park is full-time 40hr/wk with $9/hr+$100 bonus when he starts.

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.
Slope=m y-intercept=(x, y) Point-slope form
Amusement Park
Tech Internship

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.

4. For each job, write an inequality that represents the number of hours Alex could work before the trip.

5. Write an inequality that represents the amount of money Alex needs to earn

Answer 1

Below is the solution:

8 weeks to earn;
plane ticket 2200 dollars;
job 20(hours/week), 11.5(dollars/hour) versus job 40(hours/week), 100(dollars)+9(dollars/hour) 

Part of the question is how many weeks to work to get the needed money $2200.
Let w be how many weeks. w needs to be a Natural Number, when finished. 

Tech Internship

8 x weeks x 20 x (hours/week) x 11.5 x (dollars/hours)
20 x 11.5 w
230w >/ 2200
23w >/ 220 

Amusement Park
8 x weeks x 40 x (hours/week) x 9 x (dollar/hour) + 100 dolarrs 
40 x 9 x w + 100
360w + 100 >/ 2200
36w +10 > 0220
18w + 5 >/ 110