Algrebraic Expressions

Question

Assume that every week after the week you counted your number of contacts you add another person to the list.

a. Write an equation that will tell you how many people will be on your list in x number of weeks.

b. Figure out how many people will be on your list in 12 weeks.

c. Figure out how many weeks it will take to have 200 people on your list.

Answer 1

a) Let’s say you have k contacts already. So when x=0 the number of contacts, c, you have is k. That is, c=k.

After a week you c=k+1 people (contacts) altogether. After x weeks you have x new contacts so you have c=k+x people altogether.

b) After 12 weeks you have 12 new contacts so c=k+12 people altogether.

c) It will take you 200-k weeks (x=200-k) for you to have 200 people on your list altogether. That is, 200 new people.