Does the equation below show exponential growth or decay? Also, find the y-intercept.

Question

`y=5\left(2\right)^{x}`

a)growth y intercept =5
b)growth y intercept -2
c)decay y intercept=5
d)decay y intercept=2

Answer 1

a) growth y intercept = 5

This equation shows exponential growth because the base of the exponent, 2, is greater than 1. To find the y-intercept, we need to set x=0:

y = 5(2)^0
y = 5(1)
y = 5

So, the y-intercept is 5.