Mathematics: Yvaries directly as x. if y = -2 when x = 4, find x when y = 5.

Yvaries directly as x. if y = -2 when x = 4,

Ответ:

popt9710

15.03.2022

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
y=-2\\
x=4
\end{cases}\implies -2=k4\implies \cfrac{-2}{4}=k
\\\\\\
-\cfrac{1}{2}=k\qquad therefore\qquad \boxed{y=-\cfrac{1}{2}x}
\\\\\\
\textit{now, if y = 5, what is \underline{x}?}\qquad 5=-\cfrac{1}{2}x$

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Ответ:

jwyapo4

12.03.2020

Mathematics

Part A: The price of Product A is increasing by 25% per year. It starts at $72, then is multiplied by 1.25 per year, as shown by the equation f(x) = 72*(1.25)^x.
Part B: We can divide each price by the price the previous year:
84.5 / 65 = 1.3
109.85 / 84.5 = 1.3
142.81 / 109.85 = 1.3
These consistently show that each year, the price is multiplied by 1.3, or an increase of 30% per year. Therefore, Product B has a greater percentage change in price each year (30% > 25%).

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Yvaries directly as x. if y = -2 when x = 4, find x when y = 5.

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