Mary spent a total of $293.03 for a party. She spent $200.42 on food, plus an additional $30.87 for each hour of the party. How long was the party?

3 hours

Step-by-step explanation: 293.03 - 200.42= 92.61

92.61 divided by 30.87= 3

This is a perfect example of exponential decay. In this case the growth factor should be represented by a fraction, and it is! This forest, starting out with apparently ( 800? ) pine trees, has a disease spreading, which kills 1 / 4th of each of the pine trees yearly. Therefore, the pine trees remaining should be 3 / 4.

Respectively 3 / 4 should be the growth factor, starting with 800 pine trees - the start value. This can be represented as such,

- where a = start value, b = growth factor, t = time ( variable quantity )

____

Thus, the function can model this problem. The forest after t years should have P( t ) number of pine trees remaining.