WorksheetsSetting Up Slope Intercept Word Problems
Total questions: 20
Worksheet time: 20mins
The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage. If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?
C = 0.20x + 15
C =15 (0.20x)
C = 15 + x + 0.20
C = 0.20 + 15x
Which of the following situations could be descried by the equation y=120-25x?
There are 120 people in the football stadium, and 25 more are entering each hour.
A plumber charges $25 for a house call and $120 per hour.
A teacher has 120 students. Her third period has 25 students
There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute
Which of the following situations could be descried by the equation y= -25x + 120
There are 120 people in the football stadium, and 25 more are entering each hour.
A plumber charges $25 for a house call and $120 per hour.
A teacher has 120 students. Her third period has 25 students
There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute
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
Solve the word problem using slope-intercept form: If a taxi company charges a 15 booking fee and then 2 dollars per mile, what is the equation that represents the total cost y for x miles?
y=2x+15
y=15x+2
y=2x−15
y=15x−2
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=5x−20
y=20x+5
y=5x+20
y=20x−5
Bob has $150 in his savings account and saves $40 per month.
y=150 + 40
y=40x + 150
y=150x + 40
Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?
y = 8.5 + 25.5
y = 25.5 + 8.5x
y = 8.5 + 25.5x
Jerry has $20 and makes $7 per hour. Which equation represents the total amount of money Jerry has after working x hours?
y = 7x + 20
y = 7 + 20x
y = 20 + 7
Sonya has $40 in her lunch account and pays $2 each day to eat lunch. Which equation can be used to find the amount of money Sonya has left on her account after x days?
y = 40 + 2x
y = - 2x + 40
y = 2 + 40x
y = 2 - 40x
A man is climbing down from 100 feet high descending 30 feet per minute.
y = - 30x + 100
y = 100 + 30x
y = 100x + 30
y = 100x - 30
Sandra has a $20 itunes gift card and spends $3 each month. Which equation can be used to find how much money Sandra has on her giftcard after x months?
y = 3x + 20
y = 3 + 20x
y = -3x + 20
y = -20x + 3
Eddie's Electric charges $90 per hour plus a $50 traveling fee. Which equation models this scenario?
y = -50x + 90
y = 90x + 50
y = -90 - 50x
y = 50 - 90x
Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation to represent this situation.
y = 2x + 15
x = 15y + 2
y = 15x+ 2
Amelia has $100 in her savings account and plans on spending $20 per week. Write an equation to represent this situation.
y = 100x
y = -20x
y = -20x + 100
y = 100x - 20
A 7-inch candle burns at a rate of 2-inches per hour. Which equation represents the relationship between y, the height of the dandle in inches, and x, the number of hours the candle burns?
y=2x+7
y=7-2x
y=2-7x
y=7x+2
What letter represents the slope of a line in the equation y = mx + b?
y
m
x
b
What does the "b" stand for in y=mx+b?
slope
x-intercept
y-intercept
Connor has sold 15 cups of lemonade at his stand and will sell 5 more cups per hour. Write an equation to represent this situation.
y = 10x + 5
y = 20x
y = 15x + 5
y = 5x + 15
Write an linear equation to model the following:
You want to buy desserts, ice-cream is $2.50 per scoop and puppychow is $4 per bag and you want to spend $20.
y=2.50x+4
2.50x+4y=20
y=4x+2.5
