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2 years ago

R varies directly as s. Find r when s=4 and k=2

1 answer:

5 0

$\bf \begin{array}{cccccclllll}
\textit{something}&&\textit{varies directly to}&&\textit{something else}\\ \quad \\
\textit{something}&=&{{ \textit{some value}}}&\cdot &\textit{something else}\\ \quad \\
y&=&{{ k}}&\cdot&x
\\
&& y={{ k }}x
\end{array}\\\\
-------------------------------\\\\
thus\implies r=ks\qquad 
\begin{cases}
k=2\\
\uparrow \\
constant\ of\\
variation\\
s=4
\end{cases}\implies r=2\cdot 4$

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We are going to see if the exponential curve is of the form:

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If you are given the $y-$ intercept, then $a$ is easy to find.

It is just the $y-$ coordinate of the $y-$ intercept is your value for $a$ .

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So our function so far looks like this:

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Now to find $b$ we need another point. We have two more points. So we will find $b$ using one of them and verify for our resulting equation works for the other.