Question

Andrew is hiking in a mountainous area of a state park. Use the given key features to sketch a graph.

Answer 1

Using the features, a piece-wise function is defined, and the graph is sketched at the end of this answer.

A piece-wise function is a function that has multiple definitions, depending on the value of the input.

He starts at 0 feet, and reaches a maximum elevation of 800 feet in 30 minutes, with a steady(linear) increase thus, for the first 30 minutes, the definition is:

$h(t) = \frac{800}{30}t, 0 \leq t < 30$

For the next 5 minutes, he stops to rest, at the maximum elevation of 800 feet, thus, the definition is:

$h(t) = 800, 30 \leq t < 35$

For the final 20 minutes, he descends 800 meters, at a linear rate, thus:

$h(t) = 800 -\frac{800(t-35)}{20} = 800 - 40(t - 35), 35 \leq t \leq 55$

Using these definitions, the graph is sketched at the end of this answer.

A similar problem is given at brainly.com/question/13205719