The function f(x)=3.1 √(x)+19 models the median height, f(x), in inches, of girls who are x mont

step 1 Okay, so we got four different parts to this. Part A, we need to describe how we got from this e

The function f(x)=3.1 √(x)+19 models the median height,...

The function $f(x)=3.1 \sqrt{x}+19$ models the median height, $f(x)$, in inches, of girls who are $x$ months of age. The graph of $f$ is shown. a. According to the model, what is the median height of girls who are 48 months, or four years, old? Use a calculator and round to the nearest tenth of an inch. The actual median height for girls at 48 months is 40.2 inches. Does the model overestimate or underestimate the actual height? By how much? b. Use the model to find the average rate of change, in inches per month, between birth and 10 months. Round to the nearest tenth. c. Use the model to find the average rate of change, in inches per month, between 50 and 60 months. Round to the nearest tenth. How does this compare with your answer in part (b)? How is this difference shown by the graph?

The function $f(x)=3.1 \sqrt{x}+19$ models the median height, $f(x)$, in inches, of girls who are $x$ months of age. The graph of $f$ is shown.

a. According to the model, what is the median height of girls who are 48 months, or four years, old? Use a calculator and round to the nearest tenth of an inch. The actual median height for girls at 48 months is 40.2 inches. Does the model overestimate or underestimate the actual height? By how much?
b. Use the model to find the average rate of change, in inches per month, between birth and 10 months. Round to the nearest tenth.
c. Use the model to find the average rate of change, in inches per month, between 50 and 60 months. Round to the nearest tenth. How does this compare with your answer in part (b)? How is this difference shown by the graph?

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Transcript

Please give Ace some feedback