What happens to the value of the expression 70-3g as g increases? Choose 1 answer: (A) It increases. (B) It decreases. (C) It stays the same.

Analyze the relationship between g and the expression: To determine the effect on the expression as g increases, we need to analyze the relationship between g and the expression 70 - 3g.Linear function with negative slope: The expression 70 - 3g is a linear function of g with a negative slope of -3. This means that for every unit increase in g, the value of the expression decreases by 3 units.Change in expression with an increase in g: If g increases by 1, the expression changes as follows: 70 - 3(g + 1) = 70 - 3g - 3. This shows a decrease of 3 in the value of the expression.Effect of increasing g on the expression: Therefore, as g increases, the value of the expression 70 - 3g decreases.

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What happens to the value of the expression
70-3g as
g increases?
Choose 1 answer:
(A) It increases.
(B) It decreases.
(C) It stays the same.

What happens to the value of the expression $70-3 g$ as $g$ increases? $\newline$ Choose $1$ answer: $\newline$ (A) It increases. $\newline$ (B) It decreases. $\newline$ (C) It stays the same.

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Algebra 1

Identify a sequence as explicit or recursive

Full solution

Q. What happens to the value of the expression

70-3 g

g

increases?

\newline

Choose

1

answer:

\newline

(A) It increases.

\newline

(B) It decreases.

\newline

Analyze the relationship between $g$ and the expression: To determine the effect on the expression as $g$ increases, we need to analyze the relationship between $g$ and the expression $70$ - $3$ g.
Linear function with negative slope: The expression $70 - 3g$ is a linear function of $g$ with a negative slope of $-3$ . This means that for every unit increase in $g$ , the value of the expression decreases by $3$ units.
Change in expression with an increase in $g$ : If $g$ increases by $1$ , the expression changes as follows: $70$ - $3$ (g + $1$ ) = $70$ - $3$ g - $3$ . This shows a decrease of $3$ in the value of the expression.
Effect of increasing $g$ on the expression: Therefore, as $g$ increases, the value of the expression $70$ - $3$ g decreases.