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WorksheetsLinear Equations in Real-Life Scenarios
Total questions: 70
Worksheet time: 3hrs 18mins
What is a function?
Every output has one input.
Every input has one output.
If there is a constant rate of change.
If it is a line.
A family buys a case of water with 48 bottles and drinks 5 bottles per day.
The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.
y = 8x + 50
C = 50m +8
y = 50x + 8
C = 8m + 50
The total cost (y) at an amusement park can be modeled by y=1.5x+20 where x is the number of rides you ride. What is the price per ride?
1.5
21.5
0
20
You are laying bricks for a patio. Every row has 20 bricks in it. You have 400 bricks. How many rows of bricks did you lay?
20
2
8000
4
A house painter charges $12 per hour for the first 40 hours he works, $18 for the ten hours after that, and $24 for all hours after that.
How much does he earn for a 52 hour week?
$520
$708
$840
He works for free!
A house painter charges $12 per hour for the first 40 hours he works, $18 for the ten hours after that, and $24 for all hours after that.
How much does he earn for a 70 hour week?
$1020
$1140
$840
He works for free!
Does it cost to more to make 500 or 550 photocopies?
500 photocopies cost more
550 photocopies cost more
It costs the same
$35.00
When a diabetic takes long-acting insulin, the insulin reaches its peak effect on the blood sugar level in about three hours. This effect remains fairly constant for 5 hours, then declines, and is very low until the next injection. In a typical patient, the level of insulin might be modeled by the function pictured here.
f(t) represents the blood sugar level at time t hours after the time of the injection. If a patient takes insulin at 6 am, find the blood sugar level at 3pm.
220
160
140
60
For a cellular phone billing plan, $50 per month buys 400 minutes or less. Additional time costs $0.30 per minute. Let the monthly cost C(x) be a function of the time x.
Which piecewise function represents this situation?
The price p of an ice cream is $3.95 plus $0.85 for each topping t on the ice cream.
p = 0.85t - 3.95
p = 0.85t + 3.95
p = 3.95t + 0.85
A football team averages 4.5 yards/play. They start a drive on their own 20 yard line. Write a function that tells how far d from their own goal line they will be as a function of plays p.
d= 4.5p - 20
p=4.5d + 20
p= 4.5d - 20
d= 4.5p + 20
The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.
y = 8x + 50
C = 50m +8
y = 50x + 8
C = 8m + 50
You are selling drinks at the carnival to raise money. You sell lemonade for $2 per cup and orange drinks for $3 per cup. Your sales totaled $240. Let x be the number of cups of lemonade and y be the number of orange drinks.
Write an equation to represent the situation
2x - 3y = 240
3y - 2x = 240
2x + 3y = 240
2 + 3 = 240
The total cost (y) at Six Flags can be modeled by y=1.5x+20 where x is the number of rides you ride. Splash Down Dune's can be modeled by y = 2.4x + 15. Which has the steeper slope?
Six Flags
Splash Down Dunes
They are the same
The total cost (y) at Six Flags can be modeled by y=1.5x+20 where x is the number of rides you ride. Splash Down Dune's can be modeled by y = 2.4x + 15. Which has a greater entrance fee?
Six Flags
Splash Down Dunes
They are the same
You are laying bricks for a patio. Every row has 20 bricks in it. Write a function that represents the number of bricks (y) you lay in x rows.
y= x+20
y=20
y=20x
20 = x
A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each t-shirt printed with your design costs an additional $8. The equation for this situation is y = 8x + 25. Interpret the y-intercept in context.
The additional fee of $8.
The initial fee of $25.
The additional fee of $25.
The initial fee of $8.
T-shirts were on sale for $15 each and hoodies were on sale for $20 each. If she spent $150 total, write an equation to represent this situation.
You are visiting Baltimore, MD and a taxi company charges you a flat fee of $3.00 for using the taxi and $0.75 per mile.
Which of the following equations matches the situation?
0.75x + 3y = 50
y = 0.75x + 3
y = 3x + 0.75
3x + 0.75y = 50
50 = -0.75x + y
Your new job is at the Custom T Shop, where T Shirts are printed to order. For each order, Custom T Shop charges $8 per shirt plus a one time set up fee of $15, represented by the equation y=8x+15
How much would 50 shirts cost?
y= 40
y= 400
y= 415
y= 65
y= 390
What is a function?
Every output has one input.
Every input has one output.
If there is a constant rate of change.
If it is a line.
A family buys a case of water with 48 bottles and drinks 5 bottles per day.
The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.
y = 8x + 50
C = 50m +8
y = 50x + 8
C = 8m + 50
The total cost (y) at an amusement park can be modeled by y=1.5x+20 where x is the number of rides you ride. What is the price per ride?
1.5
21.5
0
20
You are laying bricks for a patio. Every row has 20 bricks in it. You have 400 bricks. How many rows of bricks did you lay?
20
2
8000
4
A taxi charges a fixed fee plus a charge per mile (x = miles). The total cost can be calculated with the equation:
y = 2.75x + 4.25
What does y represent?
The total cost of the fixed fee plus charge per mile
The charge per mile
Miles
The fixed fee
Karma
A music app charges $2 to download the app plus $1.29 per song downloaded. Write and solve a
linear equation to find the total cost to download 30 songs.
$42
$47
$40.70
$39
An airplane is at an altitude of 42,000 feet before it begins to descend at a rate of 650 feet per minute. After how many minutes is the plane at an altitude of 16,000 feet?
60 min
40 min
30 min
25 min
DeShawn's Bikes rents bikes for $11 plus $5 per hour. Maria paid $51 to rent a bike. For how many hours did she rent the bike?
5
8
51
11
