Question

Write an exponential function in the form y=ab^xy=ab^x that goes through points (0, 20) and (3, 1280).

Answer 1

Answer:

y = 20 $4^{x}$

Step-by-step explanation:

Use the points to find the values of a and b

Using (0, 20 ) , then

20 = a$b^{0}$ [ $b^{0}$ = 1 ] , then

20 = a

y = 20$b^{x}$

Using (3, 1280 ) , then

1280 = 20 b³ ( divide both sides by 20 )

64 = b³ ( take the cube root of both sides )

$\sqrt[3]{64}$ = b , that is

4 = b

Then exponential function is

y = 20. $4^{x}$