Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 4 - An Introduction to Functions - 4-4 Graphing a Function Rule - Practice and Problem-Solving Exercises - Page 258: 39

Answer

The acorn takes between 2 to 3 seconds to fall to the ground. The graph for the function h(t)=100-16$t^{2}$ is shown below.
1515269576

Work Step by Step

1. Graphically Looking at the graph, when h=0, t=2.5 which shows that t=2.5 is the x-interectp on the graph. This also means that is takes 2.5 seconds for acorn to hit the ground as the height goes from 100ft at t=0secs to height 0ft at t=2.5 2. Mathematically, The acorn when hits the ground has a height of 0 ft so we can make h(t)=0 and find the time. 0=100-16$t^{2}$ 100=16$t^{2}$ $t^{2}$ = $\frac{100}{16}$ t=$\sqrt \frac{100}{16}$ t=2.5 Therefore, 2.5 is between 2 and 3 which are whole numbers.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.