Question

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 over the summer to achieve this goal.
Tech internship
Part-time(20
hours/week)
S11.50/hour

Amusement park
attendant
Full-time (40 hours/week)
S9/hour + $100 bonus

Airplane ticket
8 weeks to buy the ticket
Cost $2200

3. How much time does Alex have? For each job, 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.
6. On a graph, sketch your equation from question 2 that represents the money Alex could earn at the job at the amusement park.

Answer 1

The inequality that represents the amount of money Alex needs to earn is y = 11.50x and 9x + 100.

How to depict the information?

The slope and the y intercept of both of the works will be:

For the tech company:

y = 11.50x

m = 11.50

y = 11.50(8 × 20)

y = 11.50(160)

y = 1840

For the amusement park

amusement parky = 9x + 100

amusement parky = 9x + 100y = 9(320) + 100

y = 2880 + 100

y = 2980.

When he wants to make the exact amount, the number of hours will be:

9x + 100 = 2200

9x = 2200 - 100

9x = 2100

x = 233.3

Learn more about equations on:

brainly.com/question/2972832

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