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?50 – 5x = y and 46 – 4x = y5x + 50 = y and 4x + 46 = y5x – 50 = y and 4x – 46 = y5 – 50x = y and 4 – 46x = y

The average wind speed was [___] miles per hour.

⇒ 170

$[___]

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:

Which equation represents the cost of the high-efficiency washing machine over a given number of years? [___]

Which equation represents the cost of the standard washing machine over a given number of years? [___]

After how many years of use would the washing machines cost the same amount? [___]

Which washing machine would be the more practical purchase if kept for 9 years? [___]

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?120d + 110d = 1,500 + 2,500120 + 110 = 1,500d + 2,500d120d + 1,500 = 110d + 2,500120d + 2,500 = 110d + 1,500

[___] units

Let x be the average airspeed of the plane.

Dalia had an average airspeed of [___] miles per hour.

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. $0.40$1.90$2.30$8.10

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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?

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.

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