Linear Equations from Two Points in Context

Speedy Boat Rental charges a deposit fee and a fee for each hour of use to rent a paddle boat. For 3 hours, the total fee is $21. For 7 hours, the total fee is $29. Write an equation to represent this situation.

• y = 2x + 15

• x = 3x + 21

• y = 4x+ 8

Bob's Plumbing charges their customers a fee per hour and a fee for coming out to their house. For 3 hours, they charge $115. For 6 hours, they charge $190. Write a linear equation to model this situation.

• y = 25x + 40

• y = 40x + 25

• y = 25x

• y = 25x - 40

A holiday meal service charges a fee per person plus a delivery fee. For 2 people, the total is $55. For 8 people, the total is $130. 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

Eddie's Electric charges an hourly fee plus a traveling fee to come out to someone's house. for 1.5 hours, a person can expect to pay $185. For 4 hours, the cost would be $410. Which equation models this scenario?

• y = 50x + 90

• y = 90x + 50

• y = -90 - 50x

• y = 50 - 90x

Amelia already has some money in her savings account and plans on saving a set amount per week. In 7 weeks, she will have $240. Three weeks later she will have $300 saved. Write an equation to represent this situation.

• y = 3x + 100

• y = 20x

• y = 20x + 100

• y = 100x + 20

Sally plans to walk a set amount of miles every week. After 3 weeks, she will have walked 48 miles. Six weeks later, she'll be up to 120 miles. Write an equation to represent this situation.

• y = 12x

• y = 12x + 12

• y = 10x + 12

• y = 2x + 10

Connor just opened a lemonade stand with a large amount of cups to sell lemonade. After 2 hours, he has 180 cups left. After 5 hours, he has 135 cups remaining. Write an equation to represent this situation.

• y = -10x + 5

• y = -20x + 210

• y = -15x + 100

• y = -15x + 210

A man is at the top of a cliff and is descending (in feet) at a steady rate per minute. After 4 minutes, he is 380 feet high. After another 3.5 minutes, he is 275 feet high. Write a linear equation to model this situation.

• y = 500 - 30x

• y = 500 - 25x

• y = 500x + 25

• y = 500x - 30

A plant is growing at a steady rate each month. At 5 months, the plant is 20 cm tall. At 11 months, the plant is 38 cm tall. Write a linear equation to model this situation.

• y = 5 - 3x

• y = 5x + 3

• y = 3x + 5

• y = 3x

The temperature was pretty warm one afternoon.  The temperature decreased steadily for several hours. At 2 hours, the temperature was 70 degrees. Three hours later, the temperature was 55 degrees. Write a linear equation to model this situation.

• y = -10h + 80

• y = -5h + 80

• y = 80h - 5

• y = -5h + 100