I Hate CBT's

View Original

Modeling With Systems Of Linear Equations

Question: Enrique has $50 in his lunch account and spends $5 per day from the account. Maya has $46 in her lunch account and spends $4 per day from the account. Which equations model the situation?

Answer: A. 50 - 5x = y and 46 - 4x = y

Question:

Answer: C. 120d + 1,500 = 110d + 2,500

Question:

Answer: 170

Question:

Answer: $3

Question:

Answer: 42, 12

Question:

Answer: $2.30

Question:

Answer: The equation 2n = p should be 2p = n.

The actual cost of the onions is $3.00 per pound.

Potatoes cost $1.50 per pound.

Question:

Answer: 1. y=25x+500

2. y = 30x + 400X

3. 20

4. standard machine

Question: Zorah, a musician, pays $120 to have her instrument tuned and $10 per hour for a booth at a fair. She estimates that she earns $25 per hour in tips. The equation can be used to represent the break-even point.

120 + 10x = 25x

How many hours, x, will Zorah have to play in order to break even?

Answer: 8

Question: An aircraft travels with the wind for 120 miles in 0.75 of an hour. The return trip is flown against the wind and takes exactly 1 hour.

Which system of linear equations represents x, the speed of the plane in miles per hour, and y, the speed of the wind in miles per hour? Recall the formula d = rt.

Answer: 0.75(x + y) = 120

x − y = 120