23
QuizMultiple Choice

Exponential and Logarithmic Functions — Test

Question 23 • Algebraic Reasoning

Interpret the following exponential function: y is equal to 6 times 1 point 0 7 to the x th power What is the growth/decay factor? What is the y -intercept?

Answer
A
Growth factor is 6 ; y -intercept is 1 point 0 7
B
Growth factor is 1 point 0 7 ; y -intercept is 6
C
Decay factor is 6 ; y -intercept is 1 point 0 7
D
Decay factor is 1 point 0 7 ; y -intercept is 6

Explanation

The function is y = 6(1.07)^x, which has the form y = a(b)^x. Since the base 1.07 is greater than 1, it represents growth, with growth factor 1.07. At x = 0, y = 6(1.07)^0 = 6, so the y-intercept is 6. Thus, the correct choice is B: growth factor is 1.07; y-intercept is 6.

AI-written and checked against the verified answer.

Previous
Next