Modeling with Systems of Linear Equations Answers

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?

⇒ 170

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Dalia flies an ultralight plane with a tailwind to a nearby town in 1/3 of an hour. On the return trip, she travels the same distance in 3/5 of an hour. What is the average rate of speed of the wind and the average rate of speed of the plane? Initial trip: Return trip:

✔ y = 25x + 500y = 25x + 525X y = 50x + 500y = 50x + 525

y = 25x + 430✔ y = 30x + 400X y = 60x + 400y = 60x + 430

9X 1019✔ 20

high efficiency machine✔ standard machinecosts would be the same

Danae is choosing between two jobs. One job pays an annual bonus of $1,500 plus $120 per day worked. The second job pays an annual bonus of $2,500 plus $110 per day worked. Which equation can be solved to determine after how many days, d, Danae would make the same amount of money regardless of the job she chooses?

Charlotte’s weekly paycheck is based on the number of hours worked during the week and on the weekend. If she works 13 hours during the week and 14 hours on the weekend, she earns $250.90. If she works 15 hours during the week and 8 hours on the weekend, she earns $204.70. How much more does Charlotte earn per hour on the weekends than she earns during the week? Round to the nearest cent.

Analyze the daughter’s solution. Which statements are true? Check all that apply.