### Home > INT3 > Chapter 7 > Lesson 7.2.5 > Problem 7-118

7-118.

Write the equation of an exponential function of the form *y* =* ab ^{x}* +

*k*that passes through each of the following pairs of points and has the given asymptote. Homework Help ✎

(1, 15) and (4, 3885),

*y*= –3(–2, –7) and (3, 0.75),

*y*= 1

Write two equations by substituting the coordinates for *x* and *y*.

15 = *ab*^{1} − 3

3885 = *ab*^{4} − 3

Use substitution to find the value of *a* and *b*. Start by adding 3 to both sides of the equations.

Solve for *b*. Then solve for *a*.

*y* = 3(6)* ^{x}* − 3

Use the same method as part (a).