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inna [77]
3 years ago
5

The total cost of an item including sales tax is directly proportional to its price. If the total cost of a $25 item is $25.75,

what is the total cost on a $60 item?
Mathematics
1 answer:
kondor19780726 [428]3 years ago
6 0
\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}\\\\
-------------------------------\\\\

\bf \textit{cost(c) is directly proportional to price(p)}\qquad c=kp
\\\\\\
\textit{we also know that }
\begin{cases}
p=25\\
c=25.75
\end{cases}\implies 25.75=k25\implies \cfrac{25.75}{25}=k
\\\\\\
1.03=k\qquad thus\qquad \boxed{c=1.03p}\\\\
-------------------------------\\\\
\textit{what's \underline{c} when \underline{p} is 60?}\qquad c=1.03(60)
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