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8090 [49]
3 years ago
11

Henry receives a flat rate of $100 per day and can earn a $2 commission for each computer repair (r) he performs. Yolanda receiv

es a flat rate of $80 per day and can earn $5 per computer sale (s) she makes. How would the two equations model the wages Henry and Yolanda make each day?
Mathematics
1 answer:
Olegator [25]3 years ago
5 0
The equations would be 100+2r and 80+5s. These equations would show how much Henry and Yolanda make each day, based on how much they sell.
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\bf \qquad \textit{Amount for Exponential Growth}\\\\
A=I(1 + r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\stackrel{multiplier}{\textit{initial amount}}\\
r=\stackrel{increase~rate}{rate\to r\%\to \frac{r}{100}}\\
t=\textit{elapsed time}\\
\end{cases}\\\\
-------------------------------

\bf \textit{we know that in }\stackrel{year~0}{2000}\textit{ there were }\stackrel{A}{\$25}\implies 25=I(1+r)^0
\\\\\\
25=I(1)\implies 25=I\qquad \qquad \boxed{A=25(1+r)^t}\\\\
-------------------------------\\\\
\textit{we also know that in }\stackrel{year~10}{2010}\textit{ it turned to }\stackrel{A}{72}\implies 72=25(1+r)^{10}

\bf \cfrac{72}{25}=(1+r)^{10}\implies \sqrt[10]{\frac{72}{25}}=1+r\implies \sqrt[10]{\frac{72}{25}}-1=r
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