Representing Real-World Linear Functions

Dion earns $50 per day plus $20 per hour. He works 8 hours today what is his total pay for today?

• $210

• $160

• $50

• $1

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}

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 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}

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}