Question

What is a and b . y=ab^x

Answer 1

a = 4, b =
`(1)/(2)`

Explanation:

Use any ordered pairs of points from the table.

Substitute into the equation and solve for a and b, that is

Using (0, 4), then

4 = a
`b^(0)` = a

Hence a = 4

Using (2, 1), then

1 = 4
`b^(2)` ( divide both sides by 4 )

b² =
`(1)/(4)` ( take the square root of both sides )

b =
`(1)/(2)`

Equation is

y = 4
`((1)/(2)) ^(x)`