Writing Linear Equations from Word Problems (including points)

A canoe rental service charges $30 dollars an hour plus an initial fee to rent a canoe. If the cost for 4 hours was $140, write an equation representing the cost, y, of renting a canoe for x hours.

• y = 30x + 20

• y = 20x + 30

• y = 50x

• y = 60x

Tags

CCSS.6.EE.C.9

A plumber charges $25 for a service call plus a certain amount per hour of service. If 3 hours of service cost $175, write an equation in slope-intercept form for the cost, C, after h hours of service.

• C = 50h + 25

• C = 25h + 50

• C = 50h - 25

• H = 25h - 50

An airplane 30,000 feet above the ground begins descending at a constant rate of feet per minute. After 6 minutes the plane was 18,000 feet above the ground. Write an equation to model the situation.

• y = - 2,000x + 30,000

• y = - 2,000x - 30,000

• y = 30,000x + 2,000

• y = -30,000x + 2,000

Tags

CCSS.6.EE.C.9

Suppose that a bike rents for a set cost plus $1.50 per hour. If 3 hours costs you $8.50, write an equation in slope-intercept form that models this situation.

• y = 4x + 1.50

• y = 1.50x + 4

• y = -4x +1.50

• y = 4x - 1.50

In order to join an online learning community, there is a startup fee and a $5 monthly fee. If 12 months of service costs you $80, write an equation in slope-intercept form that models this situation.

• y = 20x + 5

• y = 5x +20

• y=-5x + 20

• y = 5x - 20

1) A caterer charges $100 to cater a party for 10 people and $175 for 25 people. Write an equation for the given situation.

• y = 25x + 100

• y = 5x + 50

• y = 5x - 50

• 100x + 175y = 35

Tags

CCSS.6.EE.C.9

A car rental company charges $164 for renting a vehicle for 2 day. They also charge $198 for renting a vehicle for a total of 4 days. Write an equation to represent the given situation.

• y = 2x + 164

• y = 17x + 130

• y = 82x + 49.5

• 4x + 164y = 198