Answer:
<em>t = 1.51</em>
Step-by-step explanation:
<u>Exponential Model</u>
The exponential model is often used to simulate the behavior of a magnitude that either grow or decay in proportion to the existing amount of that magnitude.
The model can be expressed as

In this case, Mo is the initial mass of the radioactive substance and k is a constant which value is positive if the mass is growing or negative if the mass is decaying.
The value of k is not precisely given in the question, we are assuming 
The model is now

We are required to compute the time it takes the mass to reach one-half of its initial value:

Simplifying

Taking logarithms

Solving for t

Answer:
C
Step-by-step explanation:
Answer:
a. no b. 40.05
Step-by-step explanation:
a. to figure out the number of goals per game you have to divide the total amount of goals by the number of games:
last season: 41 ÷ 15 = 2.73
this season: 24 ÷ 9 = 2.67
as you can see the answer to the last season equation is higher than the this season meaning the player scored more goals last season.
b. we already know that the amount of games the player won each game (all of them supposedly being exactly even) is 2.67. so what we have to do is multiply it by 15 the supposed number of games the player is playing this season to get the total number of goals they will get for the entire season:
2.67 x 15 = 40.05 = the prediction of the total goals of the player
The expression simplified is -w^3-2w+3
I hope this helped