Question

Write an exponential function in the form y=ab^x that goes through points (0, 5) and
(3, 5000).

Answer 1

Answer:

y = 5(1000)^x

Step-by-step explanation:

At x = 0, b^0 equals 1. (Any number raised to the zero power equals 1.) Since y equals 5 when b^0 equals 1, a must equal 5.

5 = ab^0 = a * 1

That gets you to:

y = 5b^x

At x = 3, b^1 equals b. (Any number raised to the first power is the number itself.)

5000 = 5 * b^1 = 5 * b

Divide both sides by 5

1000 = b

That makes the equation:

y = 5(1000)^x

Answer 2

Answer:

Step-by-step explanation:x=-3800