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Slope-Intercept Form Word Problems Practice - A

Total questions: 20

Worksheet time: 40mins

Name
Class
Date
1.

A plumber has owned his own business for 21 years. He 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.

a)

C = 50h + 25

b)

C = 25h + 50

c)

C = 50h - 25

d)

H = 25h - 50

2.

A plumber has owned his own business for 21 years. He charges $25 for a service call plus $50 per hour of service.

What is the total cost for 8 hours of work?

3.

A plumber has owned his own business for 21 years. He charges twenty-five dollars for a service call plus fifty dollars per hour of service. Write an equation in slope-intercept form for the cost, y, after x hours of service.

4.

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. Let y = the height of the plane and x = the number of minutes.

5.

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

What is the altitude of the plane after 5 minutes?

6.

A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours.

7.

A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe.

What is the cost of renting the canoe for 6 hours?

8.

A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe.

If the total cost of the canoe was $650, how many hours was it rented?

9.

A man is climbing down from 100 feet high descending 30 feet per minute. Write an equation to model the situation. Let y = the height of the man and x = the number of minutes.

10.

A man is climbing down from 100 feet high descending 30 feet per minute. Write an equation to model the situation. How high is he from the ground after 2 minutes?

11.

Sandra has a twenty-dollar iTunes gift card and spends three dollars each month.  Which equation can be used to find how much money Sandra has on her gift card after x months?

a)
y = 3x + 20
b)
y = 3 + 20x
c)
y = -3x + 20
d)
y = -20x + 3
12.

Sandra has a $20 itunes gift card and spends $3 each month. How much will she have left on her gift card after 5 months?

13.

Tim buys a new computer for his office for $1200. For tax purposes, he declares a linear depreciation (loss of value) of $200 per year. Let y be the declared value of the computer after x years. Write a linear equation in slope-intercept form to model the value of the computer over time.

14.

Tim buys a new computer for his office for $1200. For tax purposes, he declares a linear depreciation (loss of value) of $200 per year. Let y be the declared value of the computer after x years. Find that value after 4.5 years.

15.

A family buys a case of water with 48 bottles and drinks 5 bottles per day. Which equation shows the number of bottles left after x days?

a)

y = 48x + 5

b)

y = -5 + 48x

c)

y = -5x - 48

d)

y = 48 - 5x

16.

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.

a)

C = 25 + 50h

b)

C = 50 + 25h

c)

h = 25 + 50C

d)

h = 50 + 25C

17.

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.

a)

y = 5x + 20

b)

y = -5x + 20

c)

y = 20x + 5

d)

y = 20x + 5x

18.

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.

a)

y = 30x + 4

b)

y = 4x - 30

c)

y = -4x + 30

d)

y = 4x + 30

19.

Basmala is saving money to buy new iphone. She has saved $50 so far and plans to $20 each week for the next few months. Write an equation that represents how much money she will have after x weeks.

a)

y = 50x + 20

b)

y = -50x + 20

c)

y = 20x + 50

d)

y = -20x + 50

20.

Ja'Kaia saved $500 from her birthday and Christmas. She is spending about $25 per week. Which equation represents how much money she will have after x weeks?

a)

y = 500x + 25

b)

y = -500x + 25

c)

y = 25x + 500

d)

y = -25x + 500