Chapter 8.5, Problem 92E

(a)

To determine

The values of p and q.

Answer to Problem 92E

The values of p and q are $p=75\&q=425$

Explanation of Solution

Given information:

The graph shows the parabolic arch that supports the roof of the convention centre as below,

  

Formula used:

Calculation:

From the graph, the x-intercepts are 75 & 425.

Therefore,

  $p=75\&q=425$

Conclusion:

The values of p and q are $p=75\&q=425$

(b)

To determine

The value of a.

Answer to Problem 92E

  $height=60ft$

  $width=350ft$

Explanation of Solution

Given information:

The graph shows the parabolic arch that supports the roof of the convention centre as below,

  

Formula used:

Substitution method is used.

Calculation:

From (a), the width id the distance between the

2 x-intercepts:

  $\begin{array}{l}width=\left|75-425\right|\\ width=350ft\end{array}$

The height is approximately:

  $height=60ft$

Since the height corresponds to the location of the vertex, and it can be used as an additional point to find the value of a.

Conclusion:

  $height=60ft$

  $width=350ft$