Answer to Question #224174 in Financial Math for Arshyan

Question

Membership Drive A mall health club is trying to stimulate new memberships. Fora limited time, the normal annual fee of $300 per year will be reduced to $200. As an additional incentive, for each new member in excess of 60, the annual charge for eack new member will be further reduced by $2. Determine the function p = /(n), where p equals the membership fee for new members and nr equals the number of new members.

Answer 1

P $=$ membership fee for new members

nr $=$ number of new members

Normal annual fee of 300 to be reduced to 200

So the normal fee $=$ 200

Now for each increments above 60 members the annual charge will be reduced by 2

In case of less than 60 members the charge will be normal

So the expression will be;

P$=/$ $(n)$

200 for normal fee subtracted with 2 reduction of each increment above 60 multiplied by nr number of new members subtracted with 60 number of increment of members so it will be

P$=/(n)=$ 200$-$ 2$*$ $($ nr $-$60$)$