Solve the equation for the y-value and choose whether it is a direct variation or inverse variation.

Mathematics

1 answer:

muminat3 years ago

5 0

Answer:

Step-by-step explanation:

the equation representing direct variation is

y = kx ← k is the constant of variation

The equation representing inverse variation is

y = $\frac{k}{x}$ ← k is the constant of variation

Given

3y = x ( divide both sides by 3 )

y = $\frac{1}{3}$ x ← equation representing direct variation

with k = $\frac{1}{3}$

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insens350 [35]

Answer:

$\textrm{\textbf{Number of people with two television sets:}} \hspace{2mm} \mathrm{\textbf{p = 87}}\\\textrm{\textbf{Number of people with two television sets:}} \hspace{2mm} \mathrm{\textbf{p = 87}}\\\textrm{\textbf{Number of people with three television sets:}} \hspace{2mm} \mathrm{\textbf{q = 22}}\\$

Step-by-step explanation:

$\textup{Note that the $p$ represents the number of people with two television sets} \\and \hspace{2mm} \textup{$q$ represents the number of people with three of them.}\\\textup{\textrm{From \textbf{a)} and \textbf{b)} we have:}}\\$ p + q = 109$ \hspace{55mm}$....eq\textcircled{1}$\\$ 2p + 3q = 240$ \hspace{51mm}$....eq\textcircled{2}$\\\textrm{Solving for \mathbf{p} and \mathbf{q} from \textcircled{1} and {\textcircled{2}, we have:}}\\$$q = 22$$\\$$p = 87$$\\$