CPM Homework Help : A2C Problem 7-164

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Home > A2C > Chapter 7 > Lesson 7.3.1 > Problem 7-164

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.

(1, 18) and (4, 3888)
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

(−2, −8) and (3, −0.25)

Hint (b):
Use the same method as part (a).

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