The starting point is (0 , 210) and the rate of change is 1.12
Step-by-step explanation:
The form of the exponential function is [tex]f(x)=a(b)^{x}[/tex] , where
- a ix the initial value ⇒ (at x = 0)
- b is the factor of growth/decay of the function ⇒ (rate of change)
- If b > 1, then the function is growth
- If 0 < k < 1, the the function is decay
∵ The function is [tex]a(x)=210(1.12)^{x}[/tex]
∵ At the starting point x = 0
- Substitute x in the function by 0
∴ [tex]a(0)=210(1.12)^{0}[/tex]
- Remember any number to power of zero = 1 except 0
∴ [tex](1.12)^{0}=1[/tex]
∴ a(0) = 210(1) = 210
∵ a(x) = y
∴ The starting point is (0 , 210)
∵ The from of the exponential equation is [tex]f(x)=a(b)^{x}[/tex]
∵ [tex]a(x)=210(1.12)^{x}[/tex]
- Compare the two function
∴ b = 1.12
∵ b is the rate of change of the function
∴ The rate of change of the function is 1.12
The starting point is (0 , 210) and the rate of change is 1.12
Learn more:
You can learn more about logarithmic function in brainly.com/question/11921476
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