Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Sally, a teacher's assistant, is grading quizzes. The function $f(x)$ gives the number of quizzes she can grade in $x$ minutes. $\newline$ What does $f(30) = 15$ tell you? $\newline$ Choices: $\newline$ (A) Sally can grade $15$ quizzes in $30$ minutes. $\newline$ (B) Sally can grade $30$ quizzes in $15$ minutes.

View step-by-step help

View step-by-step help

Power rule with rational exponents

Full solution

Q. Sally, a teacher's assistant, is grading quizzes. The function

f(x)

gives the number of quizzes she can grade in

x

minutes.

\newline

What does

f(30) = 15

tell you?

\newline

Choices:

\newline

(A) Sally can grade

15

quizzes in

30

minutes.

\newline

(B) Sally can grade

30

quizzes in

15

minutes.

Interpreting Function Value: The function $f(x)$ gives the number of quizzes Sally can grade in $x$ minutes. The value $f(30) = 15$ means that when $x$ is $30$ , $f(x)$ is $15$ . This tells us the number of quizzes Sally can grade in $30$ minutes.
Analyzing Choices: To interpret $f(30) = 15$ , we look at the choices given. Choice (A) states that Sally can grade $15$ quizzes in $30$ minutes, which directly corresponds to the function value given. Choice (B) states that Sally can grade $30$ quizzes in $15$ minutes, which is not what the function value indicates.
Correct Interpretation: Since $f(30) = 15$ matches the description in Choice (A), we can conclude that this is the correct interpretation of the function value. Sally can grade $15$ quizzes in $30$ minutes.

More problems from Power rule with rational exponents

Question

h(x)=\log _{2}(x)

\newline

Can we use the mean value theorem to say the equation

h^{\prime}(x)=1

has a solution where

1<x<2

\newline

1

\newline

(A) No, since the function is not differentiable on that interval.

\newline

(B) No, since the average rate of change of

h

over the interval

1 \leq x \leq 2

1

\newline

(C) Yes, both conditions for using the mean value theorem have been met.

Posted 3 months ago

Question

What is the sign of

39 \frac{11}{13}+\left(-41 \frac{1}{13}\right) \text { ? }

\newline

1

\newline

\newline

\newline

(C) Neither positive nor negative-the sum is zero.

Posted 3 months ago

Question

What is the sign of

-1042+1042 ?

\newline

1

\newline

\newline

\newline

(C) Neither positive nor negative-the sum is zero.

Posted 3 months ago

Question

What is the sign of

-18 \frac{9}{17}+\left(-18 \frac{9}{17}\right)

\newline

1

\newline

\newline

\newline

(C) Neither positive nor negative-the sum is zero.

Posted 3 months ago

Question

What is the sign of

\frac{23}{45}+\left(-\frac{23}{45}\right) ?

\newline

1

\newline

\newline

\newline

(C) Neither positive nor negative-the sum is zero.

Posted 3 months ago

Question

What is the sign of

45+(-38)

\newline

1

\newline

\newline

\newline

(C) Neither positive nor negative-the sum is zero.

Posted 3 months ago

Question

What is the sign of

-49.8+61.2

\newline

1

\newline

\newline

\newline

(C) Neither positive nor negative-the sum is zero.

Posted 3 months ago

Question

What is the sign of

-1.69+(-1.69) ?

\newline

1

\newline

\newline

\newline

(C) Neither positive nor negative-the sum is zero.

Posted 3 months ago

Question

What is the sign of

37+(-37)

\newline

1

\newline

\newline

\newline

(C) Neither positive nor negative-the sum is zero.

Posted 3 months ago

Question

\begin{array}{l} g(x)=\sqrt{2 x-9} \\ g^{\prime}(x)=? \end{array}

\newline

1

\newline

\frac{\sqrt{2 x-9}}{2}

\newline

\frac{1}{\sqrt{2 x-9}}

\newline

\frac{1}{2 \sqrt{2 x-9}}

\newline

\frac{1}{\sqrt{x}}

Posted 3 months ago