1. If x people working together make a total of y dollars after an hour of work. how much money will z people make if they work 4 hours at the same rate per person ?

2.Each of the n members of an organization may invite up to 3 guests to a conference. What is the maximum number of members and guests who might attend the conference?

A. n + 3
B. 3n
C. 3n + 4
D. 4n
E. 4n + 4

they each make (y/x) dollars per hour

so
4 (y/x)(z) = 4 y z/x

4 n

1. To find out how much money z people will make if they work 4 hours at the same rate per person, we can set up a proportion based on the information given.

x people make y dollars in 1 hour, so the rate per person would be y/x dollars per hour.

If z people are working, the total amount of money they would make in one hour would be z * (y/x) dollars.

Since they are working for 4 hours, we need to multiply this amount by 4:

Total amount of money z people would make = 4 * z * (y/x) dollars

2. Each member of the organization can invite up to 3 guests. So, for each member, there can be 1 member + 3 guests.

The maximum number of members and guests who might attend the conference would be if each of the n members invited the maximum number of guests, which is 3n.

Therefore, the maximum number of members and guests who might attend the conference is 3n.

1. To find the amount of money z people will make if they work for 4 hours at the same rate per person, we can use the concept of proportionality.

If x people make y dollars in 1 hour, this means that each person contributes y/x dollars in 1 hour.

To calculate the total amount of money that z people will make in 4 hours, we can multiply the amount per person in 1 hour by the number of people and the number of hours.

So, the total amount of money that z people will make after 4 hours of work is:

Total money = (y/x) * z * 4

2. In order to determine the maximum number of members and guests who might attend the conference, we need to consider the scenario where each member invites the maximum number of guests, which is 3 guests.

So, the maximum number of attendees would be the sum of the members and guests.

The number of members is represented by 'n' and each member can invite up to 3 guests. Therefore, the number of guests will be 3 times the number of members, which is 3n.

Therefore, the maximum number of members and guests who might attend the conference is n + 3n, which can be simplified to 4n.

So the correct option is (E) 4n.