[Video] Q22: W(l)=0.04(1.22)^lthe function w gives the estimated weight w(l), in pounds, of a rainbow trout based on its length l, in inches. which of the following is the best interpretation of the number 1.22 in this context?

Explanation for Question 22 From the Math (Calc) Section on the 2020 March Sat

So now we're looking at question number 22, 2 which is a question about geometric growth. 3 And we know that because they've given us this equation, 4 which is in the form of a geometric growth equation, 5 which we can see right here. And so before we get started, 6 let's go ahead and talk about what each of these variables means. 7 So the Y is going to be your final amount, 8 your final amount. 9 For example, when we talk about geometric growth, 10 a lot of the times we'll talk about savings accounts and how, 11 when you put your money in, you get interest on it, 12 and then you get a certain amount back this usually greater than what you 13 started with. And so the amount that you get back that's greater than what 14 you started with here would be the why, whereas the a is your initial 15 amount. So if someone were to put $200 into their savings account, 16 their a, their initial amount would be that $200. 17 The R is your growth rate. And so the growth rate 18 is always in comparison to one. It's important to know that a growth rate 19 of one would be no growth because it's like, 20 you're multiplying your starting amount times one. 21 So it will never change if it's greater than one, 22 then that means you're growing, which is what you would hope if you have 23 a savings account. Right? And if it's less than one, 24 that means you're shrinking. That would be in a case where you're losing money. 25 And then the T is going to be the amount of time. 26 So your time goes into...