Since we know is a proportionality, namely a multiplier on "x", we can simply use any of those points, say hmmm let's use 10, 15,

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\textit{we know that }
\begin{cases}
x=10\\
y=15
\end{cases}\implies 15=k10\implies \cfrac{15}{10}=k\implies \cfrac{3}{2}=k$

8 0

4 years ago

The table below shows the number of tea bags needed to make different amounts of iced tea. What is the total number of quarts of

never [62]

Answer:

? = 6

Step-by-step explanation:

We can set up a proportion to find the solution.

$\frac{4}{16}=\frac{?}{24}$

$(24)\frac{4}{16}=\frac{?}{24}(24)$

$6=?$

Therefore, 24 tea bags makes 6 quarts of iced tea.

5 0

3 years ago

The explicit and recursive formula for 3 12 48 192

iren2701 [21]

An=3*(4^(n-1)) is the explicit
the recursive is <span>t_n = 4 * t_(n-1)</span>

8 0

3 years ago

64^1/3=4 in logarithmic form

Marrrta [24]

$b^{a} = c
\\ \\In\ logarithmic\ form\ it\ can\ be\ written\ as
\\ \\log_{b}c=a.
\\ \\ So.\ in\ our\ case
\\ \\64^{\frac{1}{3}}=4
\\ \\ log_{64}4=\frac{1}{3}$

7 0

3 years ago

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