APPLICATIONS OF LINEAR EQUATIONS

Carolina ran 3 days last week. On Monday she ran x kilometers, on Wednesday she ran half as many kilometers as on Monday, on Friday she ran half as many kilometers as on Wednesday. If she ran a total of 14 kilometers. How many kilometers did she run each day?

• Carolina ran 4 km on Monday, 2 km on Wednesday, and 1 km on Friday.

• Carolina ran 8 km on Monday, 4 km on Wednesday, and 2 km on Friday.

• Carolina ran 6 km on Monday, 3 km on Wednesday, and 1.5 km on Friday.

• Carolina ran 9 km on Monday, 4.5 km on Wednesday, and 2.25 km on Friday.

A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation that shows the total cost c of hitting b buckets of golf balls. If the total cost is $31.50, How many balls did you hit?

• c = 2.75b + 4; b= 10

• c = 2.75b; b= 11

• c =  4b- 2.75; b= 8

• c = 2.75b - 4; b= 13

Belinda's car needed repairs. The mechanic charged him $140 for the parts and an additional $48 an hour for labor. Write an equation that models this situation. If the total cost y was $284, How many hours did the mechanic work in the car?

• y = 140x +48; He worked 1.6 hours.

• y = -48x +140; He worked 3.5 hours.

• y = 48x +140; He worked 3 hours

• y = 48x ; He worked 5 hours.

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. If the total cost C was $23, How many hours did the paddle boat was rented?

• C = 2h - 15; h=19

• C = 15h + 2; h=2.4

• C = 2h + 15; h=4

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

• y=15x
• y=15x+80
• y=x+15
• y=80x+15

Choose the equation that models the following situation:

The water level in a bath tub was 14 inches and Angelo pulls the plug and it decreases at a constant rate of 2.5 inches every minute. After how many minutes is the water level 9 inches?

You are traveling to your friends house in another city that is 6 miles away. You call an UBER that charges $5 and $1.50 per mile that you travel. What is the cost of the trip?

• $5.00

• $15.00

• $20.00

• $14.00

A plant is 5cm tall and growing at a rate of 3cm a month. If the plant is 23cm tall, how many months has it grown for?

• 5 months
• 21 months
• 6 months
• 18 months

Sonia has $40 in her lunch account and pays $2 each day to eat lunch. y=40-2x. If Sonia has $22 left in her account, how many lunches did she buy?

• 9 lunches
• -9 lunches
• 18 lunches
• -18 lunches

Sonia has $40 in her lunch account and pays $2 each day to eat lunch. y=40-2x. If Sonia buys 5 lunches, how much money will she have left in her account?

• $3
• $35
• $30
• $15