16
QuizMultiple Choice

Exponential and Logarithmic Functions — Test

Question 16 • Algebraic Reasoning

Interpret the following exponential function: y is equal to 9 times 0 point 7 7 to the x th power What is the growth/decay factor? What is the y -intercept?

Answer
A
Decay factor is 9 ; y -intercept is 0 point 7 7
B
Growth factor is 9 ; y -intercept is 0 point 7 7
C
Growth factor is 0 point 7 7 ; y -intercept is 9
D
Decay factor is 0 point 7 7 ; y -intercept is 9

Explanation

In y = 9(0.77)^x, the base 0.77 is between 0 and 1, so it is the decay factor. The y-intercept is the value of y when x = 0: y = 9(0.77)^0 = 9, so the correct choice is “Decay factor is 0.77; y-intercept is 9.”

AI-written and checked against the verified answer.

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