select the correct answer.\na record label surveyed 150 random visitors to its website to discover whether…

select the correct answer.\na record label surveyed 150 random visitors to its website to discover whether they prefer metal, rock, hip - hop, or jazz. the survey showed that 27 visitors preferred metal, 78 preferred rock, 21 voted for hip - hop, and 24 liked jazz. if the company estimates sales of 6,000 copies a week at its online store, how many will likely be from the rock genre?\na. 1,040\nb. 3,000\nc. 3,120\nd. 4,200

select the correct answer.\na record label surveyed 150 random visitors to its website to discover whether they prefer metal, rock, hip - hop, or jazz. the survey showed that 27 visitors preferred metal, 78 preferred rock, 21 voted for hip - hop, and 24 liked jazz. if the company estimates sales of 6,000 copies a week at its online store, how many will likely be from the rock genre?\na. 1,040\nb. 3,000\nc. 3,120\nd. 4,200

Answer

Explanation:

Step1: Calculate the proportion of rock - preferring visitors

The total number of surveyed visitors is $150$. The number of visitors who preferred rock is $78$. The proportion of rock - preferring visitors is $\frac{78}{150}$.

Step2: Estimate the number of rock - genre sales

The company estimates sales of $6000$ copies a week. Multiply the proportion of rock - preferring visitors by the total estimated sales. So the number of likely rock - genre sales is $\frac{78}{150}\times6000$. $\frac{78}{150}\times6000 = 78\times\frac{6000}{150}=78\times40 = 3120$.

Answer:

C. 3,120