Question

Suppose the number of people who sign up for a band's mailing list is in proportion to how many people are at their show. One night the band plays for 560 people and 29 sign up for their mailing list. The next night they play for 311 people. How many people does the band expect to sign up for their mailing list? Round your answer to the nearest person.

Answer 1

To find out how many people the band can expect to sign up for their mailing list on the second night, we can set up a proportion using the information from the first night.

Step-by-step explanation:

To find out how many people the band can expect to sign up for their mailing list on the second night, we can set up a proportion using the information from the first night. The proportion would be:

(Number of sign-ups on the first night) / (Number of people on the first night) = (Number of sign-ups on the second night) / (Number of people on the second night)

Plugging in the given values, we have:

(29 / 560) = (x / 311)

Cross-multiplying, we get:

29 * 311 = 560 * x

Simplifying, we get:

x = (29 * 311) / 560

Calculating this, we find x ≈ 16.03

Therefore, the band can expect around 16 people to sign up for their mailing list on the second night.