Unit 4 Lesson 3 Practice Problems

Function f gives the temperature, in degrees Celsius, h hours after midnight.

Choose the equation that represents the statement: “At 1:30 p.m., the temperature was 20 degrees Celsius.”

• f(1:30)=20

• f(1:5)=20

• f(13:30)=20

• f(13:50)=20

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Tyler filled up his bathtub, took a bath, and then drained the tub. The function B gives the depth of the water, in inches, t minutes after Tyler began to fill the bathtub.

Explain the meaning of the statement below.

B(0)=0

• There was 0 inches of water in the bath tub after 0 minutes of Tyler filling it up.

• The bathtub was full when Tyler began draining it.

• The bathtub was empty when Tyler began filling it up.

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Tyler filled up his bathtub, took a bath, and then drained the tub. The function B gives the depth of the water, in inches, t minutes after Tyler began to fill the bathtub.

Explain the meaning of the statement below.

B(1)<B(7)

• The depth of the water in the bathtub 7 minute after Tyler began to fill the tub was less than the depth after 1 minutes.

• The depth of the water in the bathtub 1 minute after Tyler began to fill the tub was less than the depth after 7 minutes.

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

Tyler filled up his bathtub, took a bath, and then drained the tub. The function B gives the depth of the water, in inches, t minutes after Tyler began to fill the bathtub.

Explain the meaning of the statement below.

B(9)=11

• The depth of the water in the bathtub 9 minutes after Tyler began to fill the tub was 11 inches.

• The depth of the water in the bathtub 11 minutes after Tyler began to fill the tub was 9 inches.

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Tyler filled up his bathtub, took a bath, and then drained the tub. The function B gives the depth of the water, in inches, t minutes after Tyler began to fill the bathtub.

Explain the meaning of the statement below.

B(10)=B(22)

• The depth of the water in the bathtub 22 minutes after Tyler began to fill the tub was the same as the depth after 10 minutes.

• The depth of the water in the bathtub 10 minutes after Tyler began to fill the tub was the same as the depth after 22 minutes.

Tags

CCSS.HSA.SSE.A.1

Tyler filled up his bathtub, took a bath, and then drained the tub. The function B gives the depth of the water, in inches, t minutes after Tyler began to fill the bathtub.

Explain the meaning of the statement below.

B(20)>B(40)

• The depth of the water in the bathtub 20 minutes after Tyler began to fill the tub was greater than the depth after 40 minutes.

• The depth of the water in the bathtub 40 minutes after Tyler began to fill the tub was greater than the depth after 20 minutes.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

Function f gives the temperature, in degrees Celsius, t hours after midnight.

Use function notation to write an equation or expression for each statement.

The temperature at 12 p.m.

• f(12)

• f=12

• 12(f)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Function f gives the temperature, in degrees Celsius, t hours after midnight.

Use function notation to write an equation or expression for each statement.

The temperature was the same at 9 a.m. and at 4 p.m.

• f(9)-f(16)

• f(9)=f(16)

• f(16)=f(9)

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Function f gives the temperature, in degrees Celsius, t hours after midnight.

Use function notation to write an equation or expression for each statement.

It was warmer at 9 a.m. than at 6 a.m.

• f(6)>f(9)

• f(9)>f(6)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Function f gives the temperature, in degrees Celsius, t hours after midnight.

Use function notation to write an equation or expression for each statement.

Some time after midnight, the temperature was 24 degrees Celsius.

• f(t)=24

• f(t)>24

• f(t)<24

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2