### Home > A2C > Chapter 7 > Lesson 7.3.1 > Problem7-164

7-164.

Find the equation of the exponential function of the form y = abx that passes through each of the following pairs of points.

1. (1, 18) and (4, 3888)

Construct two equations by substituting the coordinates
for x and y.

18 = ab1
3888 = ab4

Use substitution to find the value of a and b.

$a = \frac{18}{b}$

$3888 = \frac{18}{b}b^4$

y = 3(6)x

1. (−2, −8) and (3, −0.25)

• Use the same method as part (a).