Question

Bounce Club surveyed a random sample of 55 of their members about their favorite type of music. Of the members surveyed, 22 said that jazz is their favorite type of music. There are 422 Bounce Club members. Based on the data, what is the most reasonable estimate for the number of Bounce Club members whose favorite type of music is jazz music?

Answer 1

Answer with explanation:

Number of people Surveyed about their favorite music=55

Number of people who liked Jazz music =22

If denoted in terms of fractions, the number of people who likes Jazz music

 $=\frac{22}{55}=\frac{2}{5}$

Number of Bounce club Members = 422

So, number of bounce club members who likes jazz music is

 $=\frac{2}{5}\times 422\\\\=\frac{844}{5}\\\\=168.8$

If we round up to nearest tenth , number of bounce club members who like Jazz music = 169 members  

Answer 2

The most reasonable estimate for the number of Bounce Club members whose favorite type of music is jazz music is 169.

What is multiplication?

Multiplication is the process of calculating the product of two or more numbers. The multiplication of numbers say, ‘a’ and ‘b’, is stated as ‘a multiplied by ‘b’.

Number of people Surveyed about their favorite music=55

Number of people who liked Jazz music =22

Number of Bounce club Members = 422

The number of people who like Jazz music is;

$=\dfrac{22}{55}\\\\=\dfrac{2}{5}$

The most reasonable estimate for the number of Bounce Club members whose favorite type of music is jazz music is;

$=\dfrac{2}{5}\times422\\\\=\dfrac{844}{5}\\\\=168.8\\\\=169$

Hence, the most reasonable estimate for the number of Bounce Club members whose favorite type of music is jazz music is 169.

Learn more about multiplication here;

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