Slope Intercept Form Word Problems

In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

• y = 20x + 5

• y = 5x +20

• y=-5x + 20

• y = 5x - 20

An airplane 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute. 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

A plumber charges $25 for a service call plus $50 per hour of service. 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

Which y - intercept and slope applies to the graph?

• y - intercept = 2, slope = 2

• y - intercept = -2, slope = 1/2

• y - intercept = -2, slope = 2

• y - intercept = 1, slope = 2

Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.  After how many hours will the bike rental cost a total of $10?

• 4 hours

• 3 hours

• 2 hours 

• 1 hour

A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service.

• C = 25 + 50h

• C = 50 + 25h

• H = 25 + 50c

• H = 50 + 25c

Bob has $150 in his savings account and saves $40 per month.  Which equation represents the amount Bob has in his account after x months?

• y = 150 + 40

• y = 40x + 150

• y = 150x + 40

A taxi charges a flat rate of $3, plus an additional $1.50 per mile.

Abi is flying a helicopter! She is currently 45,000 feet in the air and descends 3,500 feet every minute. Write an equation to model this.

• y=3500x+45000

• y=45000x-3500

• y=-3500x+45000

• y=-45000x+3500

In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation.  After how many months will the total cost be $58?

• 7 months

• 6 months

• 5 months 

• 4 months