<img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B9%7D" id="TexFormula1" title="\sqrt[3]{9}" alt="\sqrt[3]{9}" align="absmiddle

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\textit{we know that }
\begin{cases}
x=3\\
y=12
\end{cases}\implies 12=k3\implies \cfrac{12}{3}=k\implies 4=k
\\\\\\
thus\qquad \boxed{y=4x}
\\\\\\
\textit{when x = 12, what is \underline{y}?}\qquad \qquad y=4(12)$

3 0

4 years ago

WILL GIVE BRAINEST

Bezzdna [24]

D. exponential growth

8 0

4 years ago

Find the equation of the line with a slope of − 1/2 through (4, 5)

STALIN [3.7K]

Answer: Hello:

Slope - intercept form is y = mx + b.

Since -1/2 is your slope and 5 is your y - intercept, all you need to do is substitute those values into the equation:

y = -1/2 + 5

Hope this helps!

5 0

3 years ago