MATH SOLVE

3 months ago

Q:
# 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 9b. Decay factor is 9; y-intercept is 0.77C. Growth factor is 0.77; y-intercept is 9d. Growth factor is 9; y-intercept is 0.77

Accepted Solution

A:

Decay factor is 0.77 ; y-intercept is 9 ⇒ answer aStep-by-step explanation:The form of the exponential function is [tex]y=a(b)^{x}[/tex] , wherea is the y-intercept (at x = 0)b is the growth/decay factorIf b > 1, then it is a growth factorIf 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 = 0.77Decay factor is 0.77 ; y-intercept is 9Learn more:You can learn more about exponents in brainly.com/question/4687435#LearnwithBrainly