How does g(t) = 2^t change over the interval from t = 7 to t = 8? Choices: (A)g(t) increases by 200% (B)g(t) decreases by a factor of 2 (C)g(t) increases by a factor of 2 (D)g(t) increases by 2%

Calculate g(7): Calculate g(7) to find the value of the function at t = 7. g(7) = 2^7 g(7) = 128Calculate g(8): Calculate g(8) to find the value of the function at t = 8. g(8) = 2^8 g(8) = 256Find factor increase: Find the factor by which g(t) increases from t = 7 to t = 8. Factor = g(8) / g(7) Factor = 256 / 128 Factor = 2Compare factor to choices: Compare the factor of increase to the given choices. The factor of increase is 2, which corresponds to the function doubling.

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Q. How does

g(t) = 2^t

change over the interval from

t = 7

t = 8

\newline

Choices:

\newline

(A)

g(t)

increases by

200\%

\newline

(B)

g(t)

decreases by a factor of

2

\newline

(C)

g(t)

increases by a factor of

2

\newline

(D)

g(t)

increases by

t = 7

0

Calculate $g(7)$ : Calculate $g(7)$ to find the value of the function at $t = 7$ . $\newline$ $g(7) = 2^7$ $\newline$ $g(7) = 128$
Calculate $g(8)$ : Calculate $g(8)$ to find the value of the function at $t = 8$ . $\newline$ $g(8) = 2^8$ $\newline$ $g(8) = 256$
Find factor increase: Find the factor by which $g(t)$ increases from $t = 7$ to $t = 8$ .
Factor = $\frac{g(8)}{g(7)}$
Factor = $\frac{256}{128}$
Factor = $2$
Compare factor to choices: Compare the factor of increase to the given choices. $\newline$ The factor of increase is $2$ , which corresponds to the function doubling.