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Marta_Voda [28]
3 years ago
9

A marathon runner will donate $5000 to charity if her time is less than or equal to 3 hours. She will donate $2000 if her time i

s more than 3 hours but less than or equal to 4 hours. Finally, she will donate $1000 to charity if her time is more than 4 hours.
a.)Write a piecewise function describing this situation.
Mathematics
1 answer:
lyudmila [28]3 years ago
7 0
T = time, thus

\bf f(x)=
\begin{cases}
5000&t\le 3\\
2000&3\ \textless \ t\le4\\
1000&t\ \textgreater \ 4
\end{cases}
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Two lines are parallel if the lines have the same slope but different y-intercept.

Here we know the line equation:

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We want this line to pass through (5, -1), then:

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