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mylen [45]
3 years ago
14

If y= 2 2/3 when x= 1/4, find y when x= 1 1/8

Mathematics
1 answer:
Sauron [17]3 years ago
5 0

<u>Answer:</u>

Value of y when x = 1 \frac{1}{8} is y = 12

<u>Explanation:</u>

In order to find different values of y for different values of x, we need to develop equation of y in terms of x.

Let us assume y = m \times x + c, where m is slope and c is constant.

Substituting values of y = 2 \frac{2}{3} and x = \frac{1}{4} in the assumed Equation:

y = m \times x + c

2 \frac{2}{3} = m \times  \frac{1}{4} + c

\frac{8}{3} = m \times  \frac{1}{4} + c

In order to equate the equation, c needs to be zero, because for any other value of c except zero, the equation would not equate.

\frac{8}{3} = m \times  \frac{1}{4}

m = \frac{\frac{8}{3} }{\frac{1}{4} }

m = \frac{8 \times 4}{3 \times 1}

m =\frac{32}{3}

Substituting value of m in the assumed equation,

y = \frac{32}{3} \times x

Now when x = 1 \frac{1}{8} = \frac{9}{8}

y = \frac{32 \times 9}{3 \times 8}

y = 4 \times 3 = 12

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