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

Answer:

(a) Growth

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

Step-by-step 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 $r = 24\%$

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

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

$y = 146 * (1.24)^x$

$y = 146(1.24)^x$