Question

Write and exponential function in the form y=ab^x that goes through points (0,17) and (5,4131)

Answer 1

`y = 17(3^(x) )`

Explanation:

When x = 0, y = 17 So,
`17 = kb^(0) = k(1) = k`

Now,
`y = 17b^(x)`

When x = 5, y = 4131 So,
`4131 = 17b^(5)`

`b^(5) = 4131/17 = 243 = 3^(5)`

b = 3

Therefore,
`y = 17(3^(x) )`