Write an exponential model, y=a(b)^x, given the two points (9,171) and (10,190)

Please hurry!

Step-by-step explanation:

Let's plug in 9 for x and 171 for y into the given exponential equation:

y =

171 =

Now do the same with (10, 190):

190 =

Write them both in terms of a and set them equal:

a = 171/

a = 190/

171/ = 190/

Multiply both sides by :

171b = 190

b = 190/171 = 10/9 ≈ 1.11

Plug this in to find a:

a = 171 / (10/9)^9 ≈ 66.25

So, the exponential model is:

y = 66.25[(10/9)^x]

Step-by-step explanation:

171 = a(b⁹)

b⁹ = 171/a

190 = a(b¹⁰)

190 = a(171/a) × b

b = 190/171

b = 10/9

(10/9)⁹ = 171/a

a = 66.24890362

b.an increase in a causes b to decrease