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Allisa [31]
3 years ago
5

Not sure what number 3 is. Linear Relationships. Any help?

Mathematics
1 answer:
IgorC [24]3 years ago
5 0
The value of y varies directly with x, so \dfrac{y}{x}=\text{const}

We have:


\dfrac{y_1}{x_1}=\dfrac{y_2}{x_2}\\\\\\x_1=\dfrac{1}{4}\qquad y_1=25\qquad\qquad x_2=2\dfrac{1}{3}\qquad y_2=?\\\\\\
\dfrac{25}{\frac{1}{4}}=\dfrac{y_2}{2\frac{1}{3}}\\\\\\
100=\dfrac{y_2}{2\frac{1}{3}}\qquad|\cdot2\dfrac{1}{3}\\\\\\
100\cdot2\dfrac{1}{3}=y_2\\\\\\\boxed{y_2=233\frac{1}{3}}

Answer A)
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