contestada

Interpret the following exponential function:
y = 9(0.77)
What is the growth/decay factor? What is the y-intercept?
a. Decay factor is 0.77; y-intercept is 9
b. Decay factor is 9; y-intercept is 0.77
C. Growth factor is 0.77; y-intercept is 9
d. Growth factor is 9; y-intercept is 0.77

Respuesta :

Ashraf82

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

Step-by-step explanation:

The form of the exponential function is [tex]y=a(b)^{x}[/tex] , 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

∵ [tex]y=9(0.77)^{x}[/tex]

- To find the y-intercept put x = 0

∴ [tex]y=9(0.77)^{0}[/tex]

∵ [tex](0.77)^{0}=1[/tex]

∴ y = 9(1) = 9

∴ The y-intercept is 9

∵ [tex]y=9(0.77)^{x}[/tex]

∵ [tex]y=a(b)^{x}[/tex]

∵ 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

#LearnwithBrainly

Answer:

a

Step-by-step explanation:

Otras preguntas