Reasonable Domain and Range

An aquarium is being filled at a rate of 2.5 inches per second. The equation y = 2.5x is used to determine the height of the water after x seconds. Find the range of the situation if it takes 60 seconds to fill the aquarium.

• 0 < x < 60

• {0,1,2,3,...,58, 59, 60}

• 0 < y < 150

• {0, 1, 2,...148, 149, 150}

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.1

2. The total cost for buying new sneakers for the basketball team can be found by using the function

y = 25x + 65, where x is the number of players. If between 9 and 16 players need new sneakers, find the range of this situation.

• {9, 10, 11, 12, 13, 14, 15, 16}

• {290,315,340, 365, 390, 415, 440, 465}

• 9 < x < 16

• 290 < y < 465

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

3. The total cost for attending the state fair can be found using the function y = 15 + 2.5x, where x is the number of food tickets purchased. If a family purchases between 5 and 10 food tickets, what is the domain of this situation?

• {5, 6, 7, 8, 9, 10}

• {27.5, 30, 32.5, 35, 37.5, 40}

• 5 < x < 10

• 27.5 < y < 40

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.1

Student council is selling candy grams. They are using the formula y = 2.5x to determine y, the profit earned, for x candy grams. They have to sell between 55 and 60 candy grams to meet their goal. Find the domain of the situation.

• {137.5, 140, 142.5, 145,147.5, 150}

• 55 < x < 60

• {55, 56, 57, 58, 59, 60}

• 137.5 < x < 150

Tags

CCSS.HSA.REI.B.3

The formula x + y = 180 can be used to find the degrees of supplementary angles, where xis the smaller angle. Find the domain of this situation.

• 0 < y < 180

• {0, 1, 2,...,178, 179, 180}

• 0 < x < 180

• {0, 1, 2, ... , 88, 89, 90}

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.11

A local carpenter uses the function y = 180x to determine the amount earned, y, for each bookcase s::>ld. He has to sell between 5 and 10 bookcases each month in order to meet his sales goal. Find the range of this situation.

• 5 <x < 10

• {5, 6, 7, 8, 9, 10}

• 900 < y < 1800

• {900, 1080, 1260,1440, 1620, 1800}

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

The height in inches of concrete being poured for a foundation can be found using the function y = 15 + 2.5x, where x is the number of minutes. If the concrete is poured between 5 and 10 minutes, find the range of this situation.

• {5, 6, 7, 8, 9, 10}

• 5 < x < 10

• 27.5 < y < 40

• {27.5, 30, 32.5, 35, 37.5, 40}

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

The total distance for traveling to a local conference can be found by using the function y = 25x + 65, where x is the number of miles driven. If most employees drive between 9 and 16 miles, find the range of this situation.

• {290, 315, 340, 365, 390, 415, 440, 465}

• 9 < x < 16

• {9, 10, 11, 12, 13, 14, 15, 16}

• 290 < y < 465

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1