Michael J. answered • 09/18/15

Great at Simplifying Complex Concepts and Processes

Part a)

Set P=40 into the equation.

40 = 0.1220t

^{2}+ 1.529t + 18.72Subtract 40 on both sides of the equation.

0 = 0.1220t

^{2}+ 1.529t - 21.28Now we have a quadratic equation. Use the quadratic formula to solve for t:

t = (-b ± √(b

^{2}- 4ac)) / 2a**where:**

a = 0.1220

b = 1.529

c = -21.28

Plug in these values into the formula to solve for t. You will obtain two values because of the plus/minus sign. Accept the positive value of t, since time is always positive.

Do the same for P=50

Part b)

When you create a table of values, you are evaluating the function by plugging in the independent values. Remember, you did this when you were first introduced to basic graphing. If you plug in the solution to evaluate the function, you should get a number that is equal to or very close to 40 and 50. This is also called a checking your work.

Part c)

Follow the same procedure as in part a.

Part d)

Yes you can. t=14 represents the year 2004. So t>14 represents the time beyond 2004.

Michael J.

That's okay. As long as my answer was helpful.

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09/18/15

Imtiazur S.

09/18/15