Question

Interpret the following exponential function:

Answer 1

Decay factor is 0.77 ; y-intercept is 9 ⇒ answer a

Step-by-step explanation:

The form of the exponential function is $y=a(b)^{x}$ , where

• a is the y-intercept (at x = 0)
• b is the growth/decay factor
• If b > 1, then it is a growth factor
• If 0 < b < 1, then it is a decay factor

∵ $y=9(0.77)^{x}$

- To find the y-intercept put x = 0

∴ $y=9(0.77)^{0}$

∵ $(0.77)^{0}=1$

∴ y = 9(1) = 9

∴ The y-intercept is 9

∵ $y=9(0.77)^{x}$

∵ $y=a(b)^{x}$

∵ b = 0.77

∵ 0 < 0.77 < 1

∴ 0 < b < 1

∴ The decay factor = 0.77

Decay factor is 0.77 ; y-intercept is 9

Learn more:

You can learn more about exponents in brainly.com/question/4687435

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