Question

Arianna has a large piece of fabric that she wants to use to make some scarves. The number N of scarves she can make is inversely proportional to the area A of each scarf. If the area of each scarf is 4 square feet, then she can make 15 scarves. If the area of each scarf is 5 square feet, how many scarves can she make?

Arianna can make blank scarves.

Answer 1

12 Scarves

Explanation:

Given.

number of scarves is N

Area of scarves is A

N ∝
`(1)/(A)`

`N = k(1)/(A)`-------------(2)

where k is the constant value of the above equation

If area of each scarves is 4 square feet, then she can make 15 scarves.

`4 = k(1)/(15)`

`k=15* 4\\k =60`

If area of each scarves is 5 square feet, then how many scarves can she make.

Area of scarves is 5 square feet that means
`A=5`

Put the A, k value in equation 2

`N = 60* (1)/(5)`

`N = (60)/(5)`

`N=12`

Therefore, Arianna can makes 12 scarves.