Concept explainers
To calculate the duration of the time that the riders return to the bottom.
Answer to Problem 29PPS
The time taken for the riders to return to the bottom is 7.6 seconds .
Explanation of Solution
Given information :
The function provided is
Formula used :
The given equation would be graphed as a function and the points of x-intercepts would be the results. For these points, the x-coordinate shall serve the purpose of the results.
Since the roots are not on points that are integers, use the approximation method to compute the roots.
Calculation :
The graph of the given equation is
In this, the parabola one x-intercept is between 7 and 8.
To find the roots, make a table of values for x in between these points with intervals on 0.1 . The value of x that is result closest to 0 will be the roots of the equation.
Table of values in between 7 and 8
x | 7.1 | 7.2 | 7.3 | 7.4 | 7.5 | 7.6 | 7.7 | 7.8 | 7.9 |
y | 59.64 | 48.96 | 37.96 | 26.64 | 15 | 3.04 | -9.24 | -21.84 | -34.76 |
In the tables, the value of y that is closest to 0 is 3.04. Their corresponding x values would be the roots.
Thus, 7.6 the root. Hence the time taken to reach the ground is 7.6 seconds .
Chapter 9 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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