CPM Homework Help : A2C Problem 7-164

Find the equation of the exponential function of the form y = ab^x that passes through each of the following pairs of points. Homework Help ✎
1. (1, 18) and (4, 3888)
2. (−2, −8) and (3, −0.25)

Hint (a):

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

18 = ab¹
3888 = ab⁴

More Help (a):

Use substitution to find the value of a and b.

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

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

Answer (a):

y = 3(6)^x

Hint (b):

Use the same method as part (a).