Question

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.
Tech internship: part time-$20 per week. wage-$11.50 per hour
Amusement park: full time-$40 per week. wage $9 per hour plus $100 bonus

Ticket is $2200 and she has eight weeks




1. Can Alex make enough money for the plane ticket by working at the amusement park?
2. function that represents the money Alex could earn at the tech internship.
3. inequality that represents the number of hours Alex can work at the internship.
4. Can Alex make enough money for the ticket by working at the internship? How would a graph support the answer?
5. do you think Alex picked the right job? Which job should Alex take? Explain your thinking. (1 point)

Please please help me I completed part of this but I am lost now and i would love it if someone could help me out!

Answer 1

Given that 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.

Given that Tech internship is a part time job of 20 hours per week at $11.50 per hour and Amusement park is a full time job of 40 hours per week at $9 per hour plus $100 bonus.

Given that ticket is $2200.

1.) The amount of money made by Alex from working at the amusement park is given by 8(40 x 9 + 100) = 8(360 + 100) = 8(460) = $3,680

Thus, Alex can make enough money for the plane ticket by working at the amusement park.


2.) Let x represent the number of hours worked at the tech internship by Alex, and y represent the amount of money earned by Alex, then the function that represents the money Alex could earn at the tech internship is given by
y = 11.5x
 

3.) Given that the plane ticket is $2,200 and the function that represents the money Alex could earn at the tech internship is given by y = 11.5x, then the inequality that represents the number of hours Alex can work at the internship is given by
11.5x ≥ 2,200
x ≥ 191.3


4.) Given that he works 20hrs per week at the internship, thus for 8 weeks, he will work for 20 x 8 = 160 hours.
Given that the internship pays, $11.5 per hour, for 160 hours, she will earn 11.5 x 160 = $1,840 which will not be enough to buy the plane ticket.

Therefore, Alex cannot make enough money for the ticket by working at the internship.


5.) From the answers provided in the questions above, it can be seen that Alex will earn enough money to buy his plane ticket by working at the amusement park and will not earn enough money to buy his plane ticket by working at the internship.

Thus, given that Alex chose to work at the amusement park, thus he picked the right job.