Lesson 6: Writing linear equations, Part 2

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation for C, the total cost, to rent the boat for h hours.

• h = 2C + 15

• C = 15h + 2

• h = 15C + 2

• C = 2h + 15

A holiday meal cost $12.50 per person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs (y), including delivery, for x people?

• y = 12.50 + 30x

• y = 30 + 12.50x

• y = 12.50 + 30

• 12.50x = 30

Jenny went to the sale at Kohl's last weekend.

T-shirts, x, were on sale for $15 each and hoodies, y, were on sale for $20 each. If she spent $150 total, write an equation to represent this situation.

• 20x + 15y = 150

• 15x + 150y = 20

• 15x + 20y = 150

• 150 - 20x = 15y

Sam ordered 4 tacos and 5 enchiladas for lunch at the restaurant. His bill came to $10.80. Which equation matches the given situation?

• 4x + 3y = 8.10

• 4x + 5y = 10.80

• 4x - 5y = 10.80

• 4x + 10.80y = 5

Jamar started his own pool cleaning company. He makes $50 for each pool that he cleans, but he had to purchase equipment to get started. After cleaning 4 pools, he has made $35 in profit. Which equation represents Jamar's profit, y, for cleaning x pools?

• y + 35 = 50 (x + 4)

• y + 4 = -50 (x + 35)

• y - 35 = 50 (x - 4)

• y - 4 = 50 (x - 35)