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According to market research, approximately
2% of concertgoers buy merchandise at concerts. At this rate, approximately how many concertgoers at a 7,000-people concert are expected to buy merchandise there?
Choose 1 answer:
(A) 140
(B)
200
(c) 350
(D) 1,400

According to market research, approximately $2 \%$ of concertgoers buy merchandise at concerts. At this rate, approximately how many concertgoers at a $7$ , $000$ -people concert are expected to buy merchandise there? $\newline$ Choose $1$ answer: $\newline$ (A) $\mathbf{1 4 0}$ $\newline$ (B) $200$ $\newline$ (C) $350$ $\newline$ (D) $1$ , $400$

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Experimental probability

Full solution

Q. According to market research, approximately

2 \%

of concertgoers buy merchandise at concerts. At this rate, approximately how many concertgoers at a

7

,

000

-people concert are expected to buy merchandise there?

\newline

Choose

1

answer:

\newline

(A)

\mathbf{1 4 0}

\newline

(B)

200

\newline

(C)

350

\newline

(D)

1

,

400

Identify percentage and total: Identify the percentage of concertgoers who buy merchandise and the total number of concertgoers. $\newline$ The percentage given is $2\%$ , and the total number of concertgoers is $7,000$ .
Convert percentage to decimal: Convert the percentage to a decimal to use in calculations. $\newline$ $2\%$ as a decimal is $0.02$ (since $2\% = \frac{2}{100} = 0.02$ ).
Calculate expected number of buyers: Calculate the expected number of concertgoers who buy merchandise by multiplying the total number of concertgoers by the decimal form of the percentage. $\newline$ Expected number of buyers = $0.02 \times 7,000$
Perform multiplication to find buyers: Perform the multiplication to find the expected number of buyers. $\newline$ Expected number of buyers = $0.02 \times 7,000 = 140$

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