Write an exponential function in the form y and (2,396) ab" that goes through points (0,11)

Question

asked Dec 15, 2022 154k views

1 Answer

Jmcg · Answer 1 · 2022-12-19T20:01:43+0000

Answer:

y =11(6)^x

Explanation:

Given

(x_1,y_1) = (0,11)

(x_2,y_2) = (2,396)

Required

The exponential function

This is represented as:

y = ab^x

In
(x_1,y_1) = (0,11) , we have:

11 = ab^0

11 = a*1

a = 11

So, we have:

y = ab^x

y = 11b^x

In
(x_2,y_2) = (2,396) , we have:

396 = 11 * b^2

Divide both sides by 11

36 = b^2

Taks square roots

$6 = b\\\\b=6$

So, we have:

y = 11b^x

y =11(6)^x