Answered

A group of friends is going to see a movie. The admission cost is [tex]$8 per person. The table below represents the number of friends and the total cost.

\begin{tabular}{|c|c|c|c|c|}
\hline
\multicolumn{5}{|c|}{Movie Costs} \\
\hline
Number of Friends, $[/tex](x)[tex]$ & 2 & 3 & 4 & 5 \\
\hline
Total Cost in Dollars, $[/tex](y)[tex]$ & & & & \\
\hline
\end{tabular}

Which set of ordered pairs can be written from the table?

A. $[/tex](2,10),(3,11),(4,12),(5,13)[tex]$

B. $[/tex](2,16),(3,24),(4,32),(5,40)[tex]$

C. $[/tex](10,2),(11,3),(12,4),(13,5)[tex]$

D. $[/tex](16,2),(24,3),(32,4),(40,5)$



Answer :

GinnyAnswer
Let's carefully work through the problem to identify the correct set of ordered pairs.

First, we know that the cost of admission is $8 per person. The table provides us with the number of friends and asks us to determine the total cost for different numbers of friends.

The problem requires us to complete the following table:
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline \text{Number of Friends, } (x) & 2 & 3 & 4 & 5 \\ \hline \text{Total Cost in Dollars, } (y) & & & & \\ \hline \end{array} \][/tex]

Let's calculate the total cost for each number of friends:

- For 2 friends: [tex]\( 2 \times 8 = 16 \)[/tex]
- For 3 friends: [tex]\( 3 \times 8 = 24 \)[/tex]
- For 4 friends: [tex]\( 4 \times 8 = 32 \)[/tex]
- For 5 friends: [tex]\( 5 \times 8 = 40 \)[/tex]

We can now complete the table with these values:
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline \text{Number of Friends, } (x) & 2 & 3 & 4 & 5 \\ \hline \text{Total Cost in Dollars, } (y) & 16 & 24 & 32 & 40 \\ \hline \end{array} \][/tex]

Thus, the ordered pairs that can be written from the table representing (Number of Friends, Total Cost) are:
[tex]\[ (2, 16), (3, 24), (4, 32), (5, 40) \][/tex]

Among the given options, the correct set of ordered pairs is:

[tex]\[ (2, 16), (3, 24), (4, 32), (5, 40) \][/tex]