Question

8.) The amount of n pens purchased at a constant price p is proportional to the total cost c of the purchase. If buying two pens cost $2.16, find an equation that represents the total cost for buying any amount of pens.

Answer 1

Explanation:

let p = pens

c = cost of pens

n = number of pens

The amount of n pens purchased at a constant price p is proportional to the total cost c of the purchase is expressed mathematically as

np = c

two pens costing $2.16 can be expressed mathematically as:

2p = 2.16

p =
`(2.16)/(2)`

p = 1.08

substituting p = 1.08 into np = c

it implies that,

cost for buying any amount of point, c = 1.08n

where n = number of pens

therefore the quation is, c = 1.08n