Question

Suppose you have a part time job delivering packages. Your employer pays you a flat rate of 9.5 per hour. You discover that a competitor pays employees $2 per hour plus $3 per delivery. How many deliveries would the competitors employees have to have to make in four hours to earn the same pay you earn in a four hour shift?

- How can you write a system of equations to model this situation?
- Which method should you sue to solve the system?
- How can you interpret the solution in the context of the problem

Answer 1

- How can you write a system of equations to model this situation?
Let y = your pay
x = deliveries

Your equations would be written as:

y=9.50*4
y=2*4+3x

- Which method should you sue to solve the system?
Substitution method

- How can you interpret the solution in the context of the problem
Substituting y for 9.50*4:
9.50*4 = 2*4 + 3x

Simplifying:
38=8+3x

Solving:
30=3x
x=10

Therefore, you need 10 deliveries to get the same pay as the competitor.