# The Fundamental Theorem of Calculus

### Exercises

#### Exercise 9

Shauna starts painting at noon. She can paint (140 – *kt*) square feet per hour, where *t* is the number of hours since she started painting and *k* is a constant accounting for the fact that Shauna slows down as she gets tired. If Shauna paints 100 square feet between 2pm and 3pm, what is *k*?

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