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 co
mpetitor 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
- How can you write a system of equations to model this situation? Let y = <span>your pay </span> <span> x = deliveries </span> Your equations would be written as:
<span>y=9.50*4 </span> <span>y=2*4+3x </span>
- 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: <span>9.50*4 = 2*4 + 3x </span>
<span>Simplifying: </span> <span>38=8+3x </span>
<span>Solving: </span> <span>30=3x </span> <span>x=10 </span> <span>Therefore, you need 10 deliveries to get the same pay as the competitor.</span>