Question

Explain which type of function (linear, exponential, or quadratic) you would write for the following scenario.

Cameron starts the band season practicing 32 hours a week. As the season comes to an end, Mr. Edwin reduces practice time by half each week.
O linear
• exponential
O quadratic
O arithmetic

Answer 1

Answer: B: Exponential

Explanation:

lets look at the numbers. he starts from 32 and it gets halved every "interval" of time:

32, 16, 8, 4, 2, 1, 0.5, 0.25 ........

as you can see, at first the time drops quickly, and then it slows down, approaching 0, (but never getting there).

this is the telltale sign of exponential decay!