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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.

Respuesta :

jitushashi56

Answer:

12 Scarves

Step-by-step explanation:

Given.

number of scarves is N

Area of scarves is A

N ∝ [tex]\frac{1}{A}[/tex]

[tex]N = k\frac{1}{A}[/tex]-------------(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.

[tex]4 = k\frac{1}{15}[/tex]

[tex]k=15\times 4\\k =60[/tex]

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 [tex]A=5[/tex]

Put the A, k value in equation 2

[tex]N = 60\times \frac{1}{5}[/tex]

[tex]N = \frac{60}{5}[/tex]

[tex]N=12[/tex]

Therefore, Arianna can makes 12 scarves.

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