Chapter 10.7, Problem 7IP

a.

To determine

To find: The number of visitors who would choose planetarium as their favorite exhibit.

Answer to Problem 7IP

  $68$ visitors are expected to choose planetarium as their favorite exhibit.

Explanation of Solution

Given Information: Information from a previous survey and that the total visitors are $425$ .

Calculation:

Total number of responses in previous survey $=9+12+8+15+6=50$

Number of responses for planetarium $=8$

Let $n$ museum visitors would choose the planetarium as their favorite exhibit.

Using percentage proportion to calculate required number,

  $\begin{array}{l}\frac{n}{425}=\frac{8}{50}\\ \\ \Rightarrow n\times 50=3400(Cross-product)\\ \\ \Rightarrow n=68\end{array}$

Thus, $68$ visitors are expected to choose planetarium as their favorite exhibit.

b.

To determine

To find: The number of visitors who would choose aquarium as their favorite exhibit.

Answer to Problem 7IP

  $108$ visitors are expected to choose aquarium as their favorite exhibit.

Explanation of Solution

Given Information: Information from a previous survey and that the total visitors are $600$ .

Calculation:

Total number of responses in previous survey $=9+12+8+15+6=50$

Number of responses for aquarium $=9$

Let $n$ museum visitors would choose the aquarium as their favorite exhibit

Using percentage proportion to calculate required number,

  $\begin{array}{l}\frac{n}{600}=\frac{9}{50}\\ \\ \Rightarrow n\times 50=5400(Cross-product)\\ \\ \Rightarrow n=108\end{array}$

Thus, $108$ visitors are expected to choose aquarium as their favorite exhibit.