# UNIT TWO PROJECT: MODELING MASHUPS

**Linzi Long**

# ACTIVITY ONE: GRAPHING

PIECEWISE FUNCTION FOR THIS GRAPH:

# ACTIVITY 2: MODELING

Piecewise function for this graph:

In this function, y=122 is the average rate of beats per minute for the first three minutes. The function y=121+5^(x-3) shows the growth after 3 minutes.

121= the initial starting time. 5= part of the parent function that shows the rate of growth. -3= horizontal translation

WHAT IS THE BPM WHEN THE SONG REACHES 3.5 MINUTES? 4 MIN? 5 MIN?

When the song reaches 3.5 minutes the BMP is 123. When the song reaches 4 minutes the BPM is 126. When the song reaches 5 minutes the BPM is 146.

# ACTIVITY 3: DESIGNING

I am asked to create my own graph choosing my own songs.

PIECEWISE FUNCTION FOR THIS GRAPH:

# MODELING MY MASHUP CRESENDO

The average beats per minute is 132 until the 3rd minute. This is the initial starting point, therefore y=132. I will use the formula y=132+5^(x-3) to graph the points in the crescendo.

WHAT ARE THE BPM WHEN THE SONG REACHES 3.5 MINUTES? 4 MIN? 5 MIN?

When the song reaches 3.5 minutes, the BPM is