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Slope and Y-Intercept Word Problems

Total questions: 15

Worksheet time: 30mins

Name
Class
Date
1.
 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 = 20x + 5
b)
y = 5x +20
2.
Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.
a)
y = 4x + 1.50
b)
y = 1.50x + 4
3.
An airplane 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute.  Use your equation to find the altitude of the plane after 5 minutes.
a)
20,000 feet after 5 minutes
b)
40,000 feet after 5 minutes
c)
148,000 feet after 5 minutes
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.
a)
y = 30,000ft - 2,000ft(x)
b)
y = 30,000ft + 2,000ft(x)
c)
y = 30,000ft(x) - 2,000ft
5.
Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level, L, after d days. 
a)
L = 34 - 0.5(d)
b)
L = 34(d) - 0.5
c)
d = 34 - 0.5(L)
6.
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting. 
a)
C = 5h + 3
b)
C = 3h + 5
c)
H = 5c + 3
d)
H = 3c + 5
7.
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting. How much money will she make if she baby-sits 5 hours?
a)
$28 in 5 hours
b)
$20 in 5 hours
8.
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
9.
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. What will be the total cost for 8 hours of work? 
a)
$425 for 8 hours of work
b)
$250 for 8 hours of work
10.
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. 
a)
y = 20 + 30x
b)
y = 30 + 20x
c)
y = 50x
d)
y = 60x
11.
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. What is the cost of renting the canoe for 6 hours?
a)
$200 for 6 hours
b)
$150 for 6 hours
c)
$300 for 6 hours
d)
$360 for 6 hours
12.
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?
a)
7 months
b)
6 months
c)
5 months 
d)
4 months
13.
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?
a)
4 hours
b)
3 hours
c)
2 hours 
d)
1 hour
14.
In order to join a yoga club there is a $100 annual fee and a $5 fee for each class you attend. Write an equation in slope-intercept form that models this situation.  After how many classes will the total cost be $200?
a)
20 classes
b)
15 classes
c)
10 classes
d)
200 classes
15.
Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level, L, after d days. In how many days will the water level be 26 feet?
a)
16 days
b)
15 days
c)
10 days
d)
9 days