Resources

Resources

Interpret functions using everyday language

Britney is about to ride the fastest roller coaster in the world. The function

f(x)

gives the speed of the roller coaster in miles per hour

x

seconds after the ride starts.

\newline

f(25) > 123

\newline

\newline

(A)The roller coaster is moving faster than

123

25

seconds after the ride starts.

\newline

(B)The roller coaster is moving faster than

25

123

seconds after the ride starts.

Krysta just took a strawberry-rhubarb pie out of the oven. The temperature of the pie

x

minutes after it was removed from the oven is given by the function

f(x)

. The temperature is measured in degrees Fahrenheit.

\newline

f(35) < 115

\newline

\newline

115

minutes, the temperature of the pie is less than

35

\newline

35

minutes, the temperature of the pie is less than

115

Thanks to an online typing course, Bridgette has become a much faster typist. The function

f(x)

gives how many words she can type in

x

\newline

f(45) = 68

\newline

\newline

(A) Bridgette can type

45

68

\newline

(B) Bridgette can type

68

45

Mrs. West is filling a bucket with water from a hose. The amount of water in the bucket after

x

seconds is given by the function

f(x)

. The amount of water is measured in liters.

\newline

f(4) < 2

\newline

\newline

(A)It takes under

2

seconds to fill the bucket with

4

liters of water.

\newline

4

seconds, the amount of water in the bucket is less than

2

Over summer break, Miguel needs to read a book for his English class. The function

f(x)

gives the total number of chapters he has read by day

x

of summer break.

\newline

f(12) = 24

\newline

\newline

12

days of summer break, Miguel has read

24

\newline

24

days of summer break, Miguel has read

12

Bella just took a strawberry-rhubarb pie out of the oven. The temperature of the pie

x

minutes after it was removed from the oven is given by the function

f(x)

. The temperature is measured in degrees Fahrenheit.

\newline

f(35) < 115

\newline

\newline

115

minutes, the temperature of the pie is less than

35\degree F

\newline

35

minutes, the temperature of the pie is less than

115\degree F

A class collected

2,650\,\text{L}

of materials to recycle.

\newline

Reginald said that

2,650\div49\frac{1}{10}

could represent the volume of each bag if the class filled

49\frac{1}{10}

bags with material to recycle.

\newline

2,650\div49\frac{1}{10}

could represent the number of containers the class filled if each container holds

49\frac{1}{10}\,\text{L}

\newline

Whose interpretation makes sense in this context?

\newline

1

\newline

(A) Reginald's only

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(B) Peni's only

\newline

(C) Both Reginald's and Peni's

\begin{array}{l}\text { 2.) } g(x)=\left(\sqrt{4 x^{3}-3 x^{2}+2 x-1}\right)^{3} \\ g^{\prime}(x)=\left(\left(4 x^{3}-3 x^{2}+2 x-1\right)^{1 / 2}\right)^{3}\end{array}

Yesterday, between noon and midnight, the temperature dropped by

30^{\circ} \mathrm{F}

. If the temperature was

-6.5^{\circ} \mathrm{F}

at midnight, what was it at noon?

\newline

\square

{ }^{\circ} \mathrm{F}

Mackenzie spends a winter day recording the temperature once every three hours for science class. At

9 \mathrm{am}

, the temperature was

-2^{\circ} \mathrm{F}

9 \mathrm{am}

and noon, the temperature rose

11.7^{\circ} \mathrm{F}

. Between noon and

3 \mathrm{pm}

, the temperature went up

13^{\circ} \mathrm{F}

3 \mathrm{pm}

6 \mathrm{pm}

, the temperature dropped

8.7^{\circ} \mathrm{F}

. What was the temperature at

6 \mathrm{pm}

\newline

\square

^{\circ} \mathrm{F}

Riya is applying mulch to her garden. She applies it at a rate of

250,000\text{cm}^{3}

of mulch for every

1\text{m}^{2}

of garden space.

\newline

At what rate is Riya applying mulch in

\left(\frac{\text{m}^{3}}{\text{m}^{2}}\right)

Thanks to an online typing course, Audrey has become a much faster typist. The function

f(x)

gives how many words she can type in

x

\newline

f(45) = 68

\newline

\newline

\text{Audrey can type \( 68 \) words in \( 45 \) seconds.}

\newline

\text{Audrey can type \( 45 \) words in \( 68 \) seconds.}