PLEASE HELP SOLVE FOR Y

Question

asked Jun 15, 2021 155k views

1 Answer

PlankTon · Answer 1 · 2021-06-21T12:53:58+0000

Hello!

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

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((1)/(2))^(x)