Question

a community center is trying to raise $1680 to purchase exercise equipment. the center is hoping to receive equal contributions from members of the community. write and algebraic expression to determine how much will be needed from each person if n people contribute. Then evaluate the expression for 10, 12, 14, or 16 people.

Answer 1

Lets find f(n) formula

`\boxed{\sf f(n)=(1680)/(n)}`

Now

`\\ \sf\longmapsto f(10)=(1680)/(10)=168`

`\\ \sf\longmapsto f(12)=(1680)/(12)=140`

`\\ \sf\longmapsto f(16)=(1680)/(16)=105`

`\\ \sf\longmapsto f(14)=(1680)/(14)=120`

Answer 2

Required expression would be:

• c(n) = 1680/n, where c(n) - is the contribution amount, n- number of contributors.

For different values of n we get:

• c(10) = 1680/10 = 168
• c(12) = 1680/12 = 140
• c(14) = 1680/14 = 120
• c(16) = 1680/16 = 105