Modeling with Systems of Linear Equations

Question 1

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

Revolt · Accepted Answer

A: 50 – 5x = y and 46 – 4x = y

Question 2

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

Revolt · Accepted Answer

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

Question 3

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

Revolt · Accepted Answer

C: $2.30

Question 4

Question 4

Revolt · Accepted Answer

A: The equation 2n = p should be 2p = n.; C: The actual cost of the onions is $3.00 per pound.; E: Potatoes cost $1.50 per pound.

Question 5

[___] units

Revolt · Accepted Answer

300

Question 6

$[___]

Revolt · Accepted Answer

3

Question 7

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

Revolt · Accepted Answer

500

Question 8

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

Revolt · Accepted Answer

C: y = 50x + 500

Question 9

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

Revolt · Accepted Answer

C: y = 60x + 400

Question 10

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

Revolt · Accepted Answer

B: 10

Modeling with Systems of Linear Equations Answers

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