10. The table below shows the proportional relationship between the weight of dog food, in ounces, and the number of packs of dog food

Number of Packs
of dog food Number of Ounces
of dog food
4 96
5 120
6 144
What is the constant of proportionality

Respuesta :

[tex] \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}\\\\
------------------------------- [/tex]

[tex] \bf \begin{array}{ccll}
\stackrel{x}{packs}&\stackrel{y}{\stackrel{food}{oz}}\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
4&96\\
5&120\\
6&144
\end{array}\impliedby \textit{we know that }
\begin{cases}
x=4\\
y=96
\end{cases}
\\\\\\
96=k4\implies \cfrac{96}{4}=k\implies 24=k [/tex]

Answer:

24

Step-by-step explanation:

Cause  4x24=96

5x24=120

6x24=144

so it is 24