A pediatrician uses the model above to estimate the height h of a boy. In terms of the boys age a in years between the ages of two and five, based on the model, what is the estimated increase in inches of a boy's height each year? Okay, so they're asking us pretty much, how much taller does the boy get every single year? Okay? Well, let's take a look right here at this equation, the equation tells us the height of a boy at a given age a, okay. So we take a look right here is the boy is one years old.
All right, I know that says between two and five, but for the sake of trying to understand this, let's assume that he is one years old. So he's one, what's our three a three a, so to be three, so we're going to be adding three two to eight places. And if they're two, well, our three is going to be six, three times two. And if they're three, well, three times three is nine. So every single year that passes by, we are increasing. What Yes, exactly.
We're increasing by three. So plus three plus three. That's why our answer is a