SOLUTION: 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 inter

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Question 1022020: 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
what is the slope and y intercept (x,y) of both these work places. For each job, write an inequality that represents the number of hours Alex could work before the trip. also Write an inequality that represents the amount of money Alex needs to earn. PLEASE HELP IM SO LOST


Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
For the tech company,
y=11.50x
m=11.5
y%5B0%5D=0
but x is limited to a max of 160(8*20) so,
y=11.50%28160%29=1840
.
.
For the amusement park,
y=9x%2B100
m=9
y%5B0%5D=100
He's not limited and can work a max of 320(8*40) so,
y=9%28320%29%2B100
y=2880%2B100
y=2980
.
.
.
So Alex can't work enough hours at the tech company but can at the amusement park. He'll actually make more than he needs. If he wants to make exactly the amount,
9x%2B100=2200
9x=2100
x=233%261%2F3
So in order to achieve his goal,
x%3E=234
or during the eight weeks,
40%3E=h%3E=30