Question

Searches related to In 1997 there were 43.2 who used free weights increases 6% annually, write an equation for the number of people using free weights t year 1997?

Answer 1

Answer:

$P(t)=43.2(1.06)^t$

Step-by-step explanation:

We have been given that searches related in 1997 there were 43.2 who used free weights increases 6% annually. We are asked to write an equation for the number of people using free weights t year after 1997.

Let $t=0$ represent year 1997.

We will use exponential growth formula to write our given function.

$y=a\cdot (1+r)^x$, where,

y = Final value,

a = Initial value,

r = Growth rate in decimal form,

x = time.

Let us convert 6% into decimal form.

$6\%=\frac{6}{100}=0.06$

Initially there were 43.2 who used free weights, so initial value is 43.2.

Upon substituting our given values in exponential growth formula, we will get:

$P(t)=43.2(1+0.06)^t$

$P(t)=43.2(1.06)^t$

Therefore, our required equation would be $P(t)=43.2(1.06)^t$.