WorksheetsReal World Scenarios for Linear Function
Total questions: 19
Worksheet time: 19mins
Does this image represent a real world scenario?
TRUE
FALSE
The following table shows what a local gym charges for nonmembers and members:
Find the cost for a member who uses the gym 12 times.
(a)
A dog groomer charges according to the following function f(x), which represents the total price and x represents the weight of the dog. If your dog weighs 40 pounds, how much will you pay?
$20
$30
$45
$0
A plumber charges a $25 service fee and $50 per hour for at least one hour but not more than 4 hours. If 𝑥 represents the number of hours the plumber is at your house, the total cost for the plumber’s service is represented by 𝑓(𝑥) = 50𝑥 + 25.
What is a possible domain for this situation?
{1,2,3,4}
{75,125,175,225}
{𝑥 | 1 ≤ 𝑥 ≤ 4}
{𝑦 | 25 < 𝑦 < 225}
Which situation can be represented by y=12x-4?
*Hint: Pay attention to your sign for your y-intercept*
The number of eggs, y, in x dozen eggs for sale after 4 dozen eggs are sold
The cost, y, of buying x movie tickets that sell for $4 each
The cost, y, after a $4 discount, of buying x T-shirts that sell for $12 each
The number of inches, y, in an x-foot-tall tree after cutting off 4 feet
A taxi company charges a base fare of 3plus 0.50 per mile driven. Write the linear function that represents the total cost C for driving x miles.
C=3x+0.50
C=0.50x+3
C=3+0.50x
C=0.50+3x
A plumber charges a $25 service fee and $50 per hour for at least one hour but not more than 4 hours. If 𝑥 represents the number of hours the plumber is at your house, the total cost for the plumber’s service is represented by 𝑓(𝑥) = 50𝑥 + 25.
What is a possible range for this situation?
{1,2,3,4}
{75,125,175,225}
{𝑥 | 1 ≤ 𝑥 ≤ 4}
{𝑦 | 25 ≤ 𝑦 < 225}
The total cost, 𝑐, in dollars to create calendars for a fundraiser can be found using the function 𝑐 = 5.5𝑢 + 25 where u is the number of calendars made. If there are at least 10 calendars made, what is a possible domain for this function?
{𝑥 | 0 ≤ 𝑥 < 50}
{−12,−11,12,20,50}
{𝑥 | 10 ≤ 𝑥 < 100}
{10,11,12,13,14}
The total cost, 𝑐, in dollars to create calendars for a fundraiser can be found using the function 𝑐 = 5.5𝑢 + 25 where 𝑢 is the number of calendars made. If there are at least 10 calendars made, what is a possible range for this function?
{25,30.5,36,41.5,47}
{80,85.5,113,124,140.5}
{𝑦 | 0 ≤ 𝑦 < 25}
{𝑦 | 10 ≤ 𝑦 < 50}
The number of airplane trips, 𝑓(𝑝), needed to transport p people in one day can be found using the function f(p)= rac{p}{150} . If there are at most 750 people transported by airplanes daily, what is the domain of the function for this situation?
The set of all integers from 0 to 5
The set of all integers from 0 to 150
The set of all integers less than or equal to 750
The set of all integers from 0 to 750
A gym charges a $15 registration fee and $5 per session. If 𝑥 represents the number of sessions, the total cost for going to the gym is represented by 𝑓(𝑥) = 5𝑥 + 15. Mario will be going to the gym no more than 4 times this week. What is a possible domain for this situation?
{1,2,3,4}
{20,25,30,35}
{𝑥 | 0 ≤ 𝑥 ≤4}
{𝑦 | 15 ≤ 𝑦 ≤ 35}
A gym charges a $15 registration fee and $5 per session. If 𝑥 represents the number of sessions, the total cost for going to the gym is represented by 𝑓(𝑥) = 5𝑥 + 15. Mario will be going to the gym no more than 4 times this week.
What is a possible range for this situation?
{1,2,3,4}
{20,25,30,35}
{𝑥 | 0 ≤ 𝑥 ≤4}
{𝑦 | 15 ≤ 𝑦 ≤ 35}
A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs 20 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 20x + 4.
What is the range of the function for this situation?
{0,1,2,3,4,5,6}
{4, 24, 44, 64, 84, 104, 124}
{0,2,4,6}
{4, 44, 84, 124}
A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs 20 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 20x + 4.
What is the domain of the function for this situation?
{0,1,2,3,4,5,6}
{4, 24, 44, 64, 84, 104, 124}
{0,2,4,6}
{4, 44, 84, 124}
Joe had a summer job that pays $7.00 an hour and he worked between 15 and 25 hours every week. His weekly salary can be modeled by the equation: y = 7x, where y is his weekly salary and x is the number of hours he worked in a week. What is a reasonable domain for this function?
{15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25}
{105, 112, 119, 126, 133, 140, 147, 154, 161, 168}
{x | 15 ≤ x ≤ 25}
{x | 105 ≤ x ≤ 168}
Joe had a summer job that pays $7.00 an hour and he worked between 15 and 25 hours every week. His weekly salary can be modeled by the equation: y = 7x, where y is his weekly salary and x is the number of hours he worked in a week. What is a reasonable range for this function?
{15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25}
{105, 112, 119, 126, 133, 140, 147, 154, 161, 168}
{y | 15 ≤ y ≤ 25}
{y | 105 ≤ y ≤ 168}
A student lives 4 miles from his school. He is skateboarding to school at a rate of 2 miles per hour. His distance from school, y, is a function of how long he has been riding his skateboard, x. What is a reasonable domain for this situation?
{0, 1, 2}
{0, 1, 2, 3, 4}
{x | 0 ≤ x ≤ 2}
{x | 0 ≤ x ≤ 4}
A student lives 4 miles from his school. He is skateboarding to school at a rate of 2 miles per hour. His distance from school, y, is a function of how long he has been riding his skateboard, x. What is a reasonable range for this situation?
{0, 1, 2}
{0, 1, 2, 3, 4}
{y | 0 ≤ y ≤ 2}
{y | 0 ≤ y ≤ 4}
Deion just accepted a job at a new company where he will make an annual salary of $53,000. Deion was told that for each year he stays with the company, he will be given a salary raise of $4,000. Which equation could be written to model this situation?
y=53,000x+4,000
y=4,000x+53,000
y=-4,000x+53,000
y=53,000x-4,000
