Lesson 6

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In an animated fountain, water streams reach different heights and may also take on different colours. A musical fountain is an extension of this concept: the movement of the streams is synchronized with upbeat music. The Fountains of Bellagio in Las Vegas, Nevada, have the power to shoot streams of water up to 24 storeys high, and, at any given point during a show, there could be up to 65 000 L of water in the air! The water show has been choreographed to music by a variety of different artists, such as Elvis Presley, Céline Dion, the Mormon Tabernacle Choir, and Luciano Pavarotti.

In this lesson you will solve systems of linear-quadratic and quadratic-quadratic equations algebraically. Later in the lesson you will model a situation related to a musical fountain using a system of equations.