Question

Mrs. Henderson used 634
yards of fabric to make 3 elf costumes.
What equation can be used to model the total number of yards of fabric y for x costumes? Write the equation in the form y =kx.
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Answer 1

Step-by-step explanation:

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Answer 2

CORRECT QUESTION

Mrs. Henderson used

$6 \frac{3}{4} yards$

yards of fabric to make 3 elf costumes.

What equation can be used to model the total number of yards of fabric y for x costumes? Write the equation in the form y =kx.

ANSWER

The equation formed is as follows;

$x = 2\frac{1}{4} y$

GIVEN

Total length of fabric used =

$6 \frac{3}{4}$

Number of costumes made = 3

TO FIND

Equation that can be used to model the total number of yards of fabric y for x costumes.

SOLUTION

We can simply solve the above problem as follows;

We are required to formulate the equation for the total number of yards of fabric y for x costumes

First we will convert the mixed fraction into improper fraction;

$6\frac{3}{4} = 4 \times 6 + 3 = \frac{27}{4}$

It is given,

Length of fabric required for 3 elf costumes = 24

27/4 yards

Length of fabric required to make 1 elf costume =

$\frac{27}{ \frac{4}{3} } = \frac{27}{4 \times 3} = \frac{9}{4} = 2 \frac{1}{4} yards$

Now.

Total length of fabric = y yards

Number of costumes = x

So the equation thus formed is as follows;

$x = 2\frac{1}{4} y$

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