Question

Please help urgently

Answer 1

`f(x)=10,000(1.05)^(x)`

Explanation:

The exponential regression form is :

y = a(b)^x

∵ x = 0 ⇒ y = 10,000

∴ 10,000 = a(b)^0 ⇒ 10,000 = a(1) where b^0 = 1

∴ a = 10,000

∵ x = 10 ⇒ y = 16,000

∴ 16,000 = 10,000(b)^10

∴
`b^(10)` = 16,000 ÷ 10,000 = 1.6

∴
`b=(1.6)^{(1)/(10)}` = 1.048 ≅ 1.05 (to the nearest hundredth)

∴
`y=10,000(1.05)^(x)`