Question

Nate is exponentially gaining Twitter followers! His current amount of followers is 146. His followers are increasing at a 24% rate each day. Part 1: Is this a growth or decay problem? ( 1 point) Part 2: Which equation correctly represents this problem (2 points) A) y=146(24)x B) y=146(1.024)x C) y= 146(1.24)x

Answer 1

(a) Growth

`(b)\ y = 146(1.24)^x`

Explanation:

Given

`a= 146` -- current

`r = 24\%` --- rate

Solving (a): Growth or decay

The question says his followers increases each day by 24%.

Increment means growth.

Hence, it is a growth problem

Solving (b): Equation to represent the scenario.

Since the rate represents growth, the equation is:

`y = a(1 + r)^x`

Substitute:
`a= 146` and
`r = 24\%`

`y = 146 * (1 + 24\%)^x`

`y = 146 * (1 + 0.24)^x`

`y = 146 * (1.24)^x`

`y = 146(1.24)^x`