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In a political science class, test scores were determined to be 20 times the number of hours,
h, the student studied plus 3 . Which of the following functions best describes a student's test score depending on the number of hours,
h, that the student studied?
Choose 1 answer:
(A)
f(h)=3h+20
(B)
f(h)=20 h
(C)
f(h)=60 h
(D)
f(h)=20 h+3

In a political science class, test scores were determined to be $20$ times the number of hours, $h$ , the student studied plus $3$ . Which of the following functions best describes a student's test score depending on the number of hours, $h$ , that the student studied? $\newline$ Choose $1$ answer: $\newline$ (A) $f(h)=3 h+20$ $\newline$ (B) $f(h)=20 h$ $\newline$ (C) $f(h)=60 h$ $\newline$ (D) $f(h)=20 h+3$

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Compare linear and exponential growth

Full solution

Q. In a political science class, test scores were determined to be

20

times the number of hours,

h

, the student studied plus

3

. Which of the following functions best describes a student's test score depending on the number of hours,

h

, that the student studied?

\newline

Choose

1

answer:

\newline

(A)

f(h)=3 h+20

\newline

(B)

f(h)=20 h

\newline

(C)

f(h)=60 h

\newline

(D)

f(h)=20 h+3

Problem Understanding: Understand the problem. $\newline$ The problem states that the test score is $20$ times the number of hours studied plus $3$ . This means we are looking for a function that multiplies the number of hours studied by $20$ and then adds $3$ .
Matching Problem Statement: Match the problem statement to the function choices. $\newline$ We need to find a function that represents the test score $f(h)$ as $20$ times the number of hours studied $h$ plus $3$ . This means we are looking for a function of the form $f(h) = 20h + 3$ .
Comparing Choices: Compare the given choices with the required form. $\newline$ (A) $f(h) = 3h + 20$ does not match because it adds $20$ instead of multiplying by $20$ . $\newline$ (B) $f(h) = 20h$ only multiplies by $20$ but does not add $3$ . $\newline$ (C) $f(h) = 60h$ multiplies by $60$ , which is not the required multiplier. $\newline$ (D) $f(h) = 20h + 3$ matches the required form exactly, multiplying $h$ by $20$ and then adding $3$ .
Selecting Correct Function: Select the correct function. $\newline$ The function that best describes the student's test score based on the number of hours studied is (D) $f(h) = 20h + 3$ , as it matches the description given in the problem statement.

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