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WorksheetsInterpreting Linear Functions Real World Examples
Total questions: 14
Worksheet time: 2hrs 13mins
An electrician charges a set fee for every house call and then charges an hourly rate depending on how long the job takes. The total cost, C, of the electrician's services can be determined using the function C=65t+70, where t is the number of hours the electrician spends at the house working.
What is theY-INTERCEPT of the function and what is its interpretation in the context of the problem?
70; which represents the total cost for all services.
70; which represents the set fee for the house call.
65; which represents the total cost for all services.
65; which represents the set fee for the house call.
When Landon left his house in the morning, his cell phone battery was partially charged. The charge remaining in Landon's battery,B, as a percentage, can be modeled by the function B=-5t+30, where t is the number of hours since Landon left his house.
What is the y-intercept of the function and what is its interpretation in the context of the problem?
30; the number of house until Landon's phone dies.
-5; the charge of the battery when Landon woke up.
30; the charge of the battery when Landon left his house.
-5; the percentage of battery Landon's phone loses each hour.
Samantha is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. The function C=125p+400
can be used to determine the total cost,C, in dollars, of producing,p, phones in a given day.
What is the meaning of the slope in the context of the problem?
the total cost to produce all phones
the number of phones produced per day
the additional cost to produce each phone
the number of days to produce all of the phones
Brandon filled up his car with gas before embarking on a road trip across the country. The number of gallons of gas remaining in his gas tank after t hours of driving can be determined using the equation
G=−1.5t+15.
What is the meaning of the slope of the equation in the context of the problem?
the number of gallons of gas used per mile
the initial amount of gas in the tank
the number of gallons of gas used per hour driven
the number of hours driven until the gas tank is empty
Bonnie pays a monthly fee of $80 at the health club and an additional $9 every time she attends a yoga class. Which expression below shows her total cost T if she attends y yoga classes this month?
T = 80 + 9y
T = 80y + 9
T = 80 + 9 + y
T = (80+9)y
Yvette has a home-based business putting on children's parties. She charges $55 to design the party and then $4 per child. Write a function rule that relates the total cost of the party to the number of children n.
f(n) = 4 + 55n
f(n) = 4 - 55n
f(n) = 4n - 55
f(n) = 55 + 4n
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
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.
Bob has $150 in his savings account and saves $40 per month.
y=150 + 40
y=40x + 150
y=150x + 40
A cell phone company charges $60.00 a month for up to 1 gigabyte of data. The cost of additional data is $0.05 per megabyte. If d represents the number of additional megabytes used and c represents the total charges at the end of the month, which linear equation can be used to determine a user's monthly bill?
c = 60 − 0.05d
c = 60.05d
c = 60d − 0.05
c = 60 + 0.05d
Alex is selling tickets to a school play. An adult ticket costs $6.50 and a student ticket costs $4.00. Alex sells x adult tickets and 12 student tickets. Write an equation, C, to represent how much money Alex collected from selling tickets.
C= $6.50x + $4.00(12)
C= $6.50(12) +$4.00x
C=$6.50x+$4.00x +12
C=$10.50x+12
Peyton is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The total cost of the gym membership, C, over t
months whose graph is shown below.
Write an equation for C in terms of t. (hint: use y=mx+b)
C=40t+150
C=-40t+150
C=50t+150
C=50t-150
When Isabella left her house in the morning, her cell phone battery was partially charged. The charge remaining in Isabella's battery,B, a as a percentage can be modeled by the graph shown below where t represents the time.
Write an equation using slope-intercept form to model this situation.
B= 90t+10
B=10t+90
B=-10t+90
B=-90t+10
