Question

PLEASE ANSWER + BRAINLIEST!!!!

Answer 1

Answer: 100*(1.032)^t which can be written as $b = 100*(1.032)^t$

=============================================

Explanation:

b = value of cup after t years

t = time in years (eg: t = 2 means 2 years have passed by)

The value starts at b = 100. After year 1, the value jumps up by 3.2% so we multiply the value $100 by 1.032 which is the proper multiplier to help increase by 3.2%; to see this, notice how 100% + 3.2% = 1 + 0.032 = 1.032

After 2 years, the value jumps another 3.2% so we have another copy of 1.032 multiplied. Then for 3 years, we'll have 3 copies of 1.032 multiplied. And so on.

For t years, we'll have t copies of 1.032 as the multiplier. So we will multiply the initial value 100 by (1.032)^t

That is why the equation is

b = 100*(1.032)^t

which can be written as $b = 100*(1.032)^t$