Question

What is a and b . y=ab^x

Answer 1

Answer:

a = 4, b = $\frac{1}{2}$

Step-by-step 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 = $\frac{1}{4}$ ( take the square root of both sides )

b = $\frac{1}{2}$

Equation is

y = 4$(\frac{1}{2}) ^{x}$