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What happens to the value of the expression
1+3f as
f increases?
Choose 1 answer:
A It increases.
(B) It decreases.
(C) It stays the same.

What happens to the value of the expression $1+3 f$ as $f$ increases? $\newline$ Choose $1$ answer: $\newline$ (A) It increases. $\newline$ (B) It decreases. $\newline$ (C) It stays the same.

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Slopes of parallel and perpendicular lines

Full solution

Q. What happens to the value of the expression

1+3 f

as

f

increases?

\newline

Choose

1

answer:

\newline

(A) It increases.

\newline

(B) It decreases.

\newline

(C) It stays the same.

Analysis of the expression: Let's analyze the expression $1+3f$ . $\newline$ As $f$ increases, we multiply this increase by $3$ (since $f$ is multiplied by $3$ in the expression). $\newline$ This means that the whole expression $1+3f$ will increase by three times whatever amount $f$ increases.
Increase in expression with increasing $f$ : To check this, let's pick two values for $f$ , where the second value is greater than the first. $\newline$ For example, let $f_1 = 1$ and $f_2 = 2$ . $\newline$ When $f = f_1$ , the expression $1+3f$ becomes $1+3(1) = 1+3 = 4$ . $\newline$ When $f = f_2$ , the expression $1+3f$ becomes $1+3(2) = 1+6 = 7$ . $\newline$ We can see that as $f$ increased from $f$ $1$ to $f$ $2$ , the value of the expression increased from $f$ $3$ to $f$ $4$ .
Checking with specific values of $f$ : Since the expression increases whenever $f$ increases, we can conclude that the value of the expression $1+3f$ increases as $f$ increases. $\newline$ Therefore, the correct answer is A) It increases.

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