Question

30 pt, easyish

Answer 1

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 $f(x)=a(b)^{x}$ , 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 $a(x)=210(1.12)^{x}$

∵ At the starting point x = 0

- Substitute x in the function by 0

∴ $a(0)=210(1.12)^{0}$

- Remember any number to power of zero = 1 except 0

∴ $(1.12)^{0}=1$

∴ a(0) = 210(1) = 210

∵ a(x) = y

∴ The starting point is (0 , 210)

∵ The from of the exponential equation is $f(x)=a(b)^{x}$

∵ $a(x)=210(1.12)^{x}$

- 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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