Reasonable Domain and Range for Real World Linear Functions

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}

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.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}

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.1

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}

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.1

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}

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.1

• 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

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.5

• 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

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.B.3

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}

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

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}

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

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}

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

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}

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.1