A trumpet player hears $5$ beats per second when she plays a note and simultaneously sounds a $440$ Hz tuning fork. After pulling her tuning valve out to slightly increase the length of her trumpet, she hears $3$ beats per second against the tuning fork.

Part A

Was her initial frequency $435$ Hz or $445$ Hz $?$ Explain.

Match the words in the left column to the appropriate blanks in the sentences on the right.

increased

decreased

$---------$

got closer to

went further from

$---------$

$435$ Hz

The frequency of the instrument number of beats decreased, the frequency of the Therefore, the initial frequency was