Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Kathleen, 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) Kathleen can grade $30$ quizzes in $15$ minutes. $\newline$ (B) Kathleen can grade $15$ quizzes in $30$ minutes.

View step-by-step help

View step-by-step help

Divide numbers written in scientific notation

Full solution

Q. Kathleen, 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) Kathleen can grade

30

quizzes in

15

minutes.

\newline

(B) Kathleen can grade

15

quizzes in

30

minutes.

Function Definition: The function $f(x)$ represents the number of quizzes Kathleen can grade in $x$ minutes. The input to the function, $x$ , is the number of minutes, and the output, $f(x)$ , is the number of quizzes graded in that time.
Substitution of $x$ : To understand what $f(30) = 15$ means, we substitute $x$ with $30$ in the function $f(x)$ . This gives us the number of quizzes Kathleen can grade in $30$ minutes.
Interpreting $f(30) = 15$ : Since $f(30) = 15$ , this tells us that Kathleen can grade $15$ quizzes in $30$ minutes, not the other way around. It is important to note that the function's input is the time and the output is the number of quizzes.
Correct Interpretation: Therefore, the correct interpretation of $f(30) = 15$ is that Kathleen can grade $15$ quizzes in $30$ minutes, which corresponds to choice (B).

More problems from Divide numbers written in scientific notation

Question

16 a+72

to identify the equivalent expressions.

\newline

2

\newline

4(4 a+18)

\newline

8(2 a+9)

\newline

2(8+36 a)

\newline

2(8 a+72)

Posted 4 months ago

Question

30-6 v-18 w

to identify the equivalent expressions.

\newline

2

\newline

2(15-12 v)

\newline

3(10-3 v+6 w)

\newline

6(5-v-3 w)

\newline

2(15-3 v-9 w)

Posted 4 months ago

Question

24 m-12 p+72

to identify the equivalent expressions.

\newline

2

\newline

6(4 m+2 p+12)

\newline

2(12 m-6 p+36)

\newline

12(2 m-p+6)

\newline

24(m-12 p+3)

Posted 4 months ago

Question

48-8 x

to identify the equivalent expressions.

\newline

2

\newline

3(16-8 x)

\newline

2(24-4 x)

\newline

8(6-x)

\newline

4(12-4 x)

Posted 1 month ago

Question

Multiply and simplify the following complex numbers:

\newline

(-3-2 i) \cdot(-4+2 i)

Posted 4 months ago

Question

Multiply and simplify the following complex numbers:

\newline

(1-2 i) \cdot(4+i)

Posted 3 months ago

Question

Multiply and simplify the following complex numbers:

\newline

(-1+4 i) \cdot(4-3 i)

Posted 4 months ago

Question

Multiply and simplify the following complex numbers:

\newline

(-4-4 i) \cdot(-5-3 i)

Posted 4 months ago

Question

Multiply and simplify the following complex numbers:

\newline

(1+5 i) \cdot(-3-i)

Posted 4 months ago

Question

Multiply and simplify the following complex numbers:

\newline

(-2+2 i) \cdot(5+5 i)

Posted 4 months ago