Answer:
- Shirt costs $10.50, pants cost $27
Step-by-step explanation:
<h3>Set equations as follows</h3>
- 3s + 2p = 85.5
- 4s + 3p = 123
<h3>Solve the system by elimination</h3>
Multiply the first equation by 4 and the second one by 3 and subtract equations
- 4(3s + 2p) - 3(4s + 3p) = 4(85.5) - 3(123)
- 12s + 8p - 12s - 9p = 342 - 369
- - p = - 27
- p = 27
Find the value of s
- 3s + 2*27 = 85.5
- 3s + 54 = 85.5
- 3s = 85.5 - 54
- 3s = 31.5
- s = 31.5/3
- s = 10.5
Answer: it is the fraction
55/4
While it says not to state it, I will state which one is which, just for clarification.
Linear Pattern: A person is paid $10 for every hour they work. Before they start working, they are given an additional $5. They receive no raises in their pay.
This is linear because the pay is constant, and they aren't receiving any additional money. The equation for this would be y = 10x+5, x is the amount of hours they work.
Non-Linear Pattern: A person is paid $10 for every hour they work. Before they start working, they get are given an additional $5. For every 30 minutes they work after hour 4, they receive a $1 raise.
This is non-linear because the pay, after a certain amount of time, would go up, and the graph would soon start going higher after hour 4.
An ordered pair for the linear would be: (5, 55)
After working 5 hours, they would have $55.
An ordered pair for the non-linear would be (5, 56)
After working for 5 hours, they would have $56.
