Describing the Benefits of Mathematical Modeling This activity will help you meet these educational goals:
You will state the benefits of modeling real-world phenomena.
In the previous tasks, you used the structure of expressions to accomplish different tasks:

* In Task 1, you used the structure of a formula for interest to create two different models for calculating interest.
* In Task 2, you rearranged an equation that modeled the flight of a paper ball through the air to reveal important information.
Think about those two situations as you answer the following questions.

Part A
In the interest task, how did the structure of the formula help you calculate how interest would accrue over four years?

Part B
Why was it helpful in the paper ball situation to rewrite the expression to determine specific details of the situation?

Part C
What is the benefit of modeling real-world phenomena with mathematical expressions?

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Step-by-step explanation:

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.