Question

PLEASE HELP SOLVE FOR Y

Answer 1

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)`