WorksheetsReal World Linear Equation Situations and Interpretations
Total questions: 20
Worksheet time: 20mins
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.
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
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.
Monica gets on an elevator in a skyscraper. The elevator starts to move at a rate of −20 ft/s. After 6 seconds on the elevator, Monica is 350 feet from the ground floor of the building. Select all that apply.
x represents the time in seconds since Monica got on the elevator.
The y-intercept represents the original height above the ground in feet.
The elevator is moving up.
The equation is y = 470 - 20x
The equation is y = 20x + 470
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
Fernando works at a clothing store . Each week, he earns $120 plus a 25% commission on any clothing he sells . The equation shown below can be used to determine the total amount (y), in dollars, Fernando earns in a week during which he sells x dollars’ worth of clothing . y = 0 .25x + 120 The ordered pair (225, 176 .25) is a solution of the equation . What does this solution represent in the context of the situation?
In a week during which Fernando sells $176 .25 worth of clothing, he earns a total of $225
In a week during which Fernando sells $176 .25 worth of clothing, he earns $225 in commission
In a week during which Fernando sells $225 worth of clothing, he earns a total of $176 .25
In a week during which Fernando sells $225 worth of clothing, he earns $176 .25 in commission
The equation T = 0.63s + 78 can be used to determine T, the temperature in degrees, inside an oven s seconds after the over is turned on. Which statement relative to this equation is true?
Each second the temperature increased 78 degrees
The initial temperature inside the oven was degrees
The temperature inside the oven in one minute was 141 degrees
The temperature inside the oven increased by 78 degrees every 63 seconds
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
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
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
Bob has $150 in his savings account and saves $40 per month.
y=150 + 40
y=40x + 150
y=150x + 40
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
After paying $5.12 for a salad, Kamauri has $27.10. How much money did he have before buying the salad?
n + $5.12 = $27.10
n - $5.12 = $27.10
n - $5.12 = -$27.10
$5.12 - n = $27.10
For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?
4x=472
9x=472
4+9x=472
4+x=472
Which equation would describe "two times a number plus five equals 15"?
x + 5 = 15
2x + 5=15
x + 2(5) = 15
2(x + 5) = 15
What step would you take to solve this equation?
Multiply both sides of the equation by 2
Divide both sides of the equation by 2
Add 2 to both sides of the equation
Subtract 2 from both sides of the equation
