Question

Write an exponential function in the form y=ab^x that goes through points (0,7) and (5,1701).

Answer 1

Answer: y=7(3)^x

Explanation:

Just did it

Answer 2

y = 7
`3^(x)`

Explanation:

Use the given ordered pairs to find a and b

Using (0, 7 ), then

7 = a
`b^(0)` (
`b^(0)` = 1 ), thus

a = 7

y = 7
`b^(x)`

Using (5, 1701 )

1701 = 7
`b^(5)` ( divide both sides by 7 )

243 =
`b^(5)` ( take the fifth root of both sides )

b =
`\sqrt[5]{243}` = 3 , thus

y = 7
`3^(x)`