Question

PLEASE HELP SOLVE FOR Y

Answer 1

Hello!

$\large\boxed{y = 5(\frac{1}{2})^{x} }$

Recall that the equation of an exponential graph is:

$y = a(b)^{x}$

We can see from the graph there is a y-intercept at y = 5. Plugging in 0 for x results in:

$5 = a(b)^{0}\\\\5 = a(1)\\\\a = 5$

Solve for b by plugging in another point on the graph:

$10 = 5(b)^{-1}\\\\2 = b^{-1}\\\\b = 1/2$

Write the final equation:

$y = 5(\frac{1}{2})^{x}$