Question

Write an exponential function in the form y=ab^x that goes through points (0, 10)and (2, 160)

Answer 1

y = 10
`(4)^(x)`

Explanation:

Use the points to find a and b

Using (0, 10 ) , then

10 = a
`b^(0)` [
`b^(0)` = 1 ]

a = 10 , so

y = 10
`b^(x)`

Using (2, 160 )

160 = 10b² ( divide both sides by 10 )

16 = b² ( take square root of both sides )

`√(16)` = b , that is

b = 4

The exponential function is

y = 10
`(4)^(x)`

Answer 2

Explanation:

10*4^x