Your company determines that the number of students S in thousands in the United States from 1990 to 2003 the participate in high school athletic programs can be modeled by the equation

S= .021x^5-.572x^4+3.3x^3+16.173x^2-1.674x+5267.

1. Create a tableof values for the model according to your table when did the number of students reach 5.8 million
2. Write an equation that will determine the year the number of students reach to 6 million. Then rewrite the equation by setting it equal to zero. What were the real zeroes?
3. Write an equation that will determine the year the number of students reach 6.6 million. The rewrite the equation by setting it equal to zero. Approximate real zeros of the equation
4. In 2015 the goal of your companies to have at least 15% of the total number of students participating in high school Athletic programs wedding it's like a pair. Approximately how many high school students will be waiting the company's althletic apparel if the goal is reached

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1. To create a table of values for the model, you need to substitute different values for x in the given equation and calculate the corresponding values of S.

- Choose a range of x values from 1990 to 2003.
- Substitute each x value into the equation: S = 0.021x^5 - 0.572x^4 + 3.3x^3 + 16.173x^2 - 1.674x + 5267.
- Calculate the corresponding value of S for each x value.

For example, let's calculate the value of S for x = 1990:
S = 0.021(1990)^5 - 0.572(1990)^4 + 3.3(1990)^3 + 16.173(1990)^2 - 1.674(1990) + 5267

Perform the calculations to find the value of S. Repeat this process for different x values to create a table of values for the model. Look for the year when the number of students reaches 5.8 million.

2. To determine the year when the number of students reaches 6 million, you need to set the equation equal to 6.

6 = 0.021x^5 - 0.572x^4 + 3.3x^3 + 16.173x^2 - 1.674x + 5267

Simplify the equation and set it equal to zero:

0.021x^5 - 0.572x^4 + 3.3x^3 + 16.173x^2 - 1.674x + 5251 = 0

To find the real zeroes of this equation, you can use numerical methods such as graphing the equation or using software or calculators capable of solving equations.

3. To determine the year when the number of students reaches 6.6 million, you need to set the equation equal to 6.6.

6.6 = 0.021x^5 - 0.572x^4 + 3.3x^3 + 16.173x^2 - 1.674x + 5267

Simplify the equation and set it equal to zero:

0.021x^5 - 0.572x^4 + 3.3x^3 + 16.173x^2 - 1.674x + 5251.4 = 0

To approximate the real zeros of this equation, you can use numerical methods such as graphing the equation or using software or calculators capable of solving equations.

4. To determine the approximate number of high school students who will be wearing the company's athletic apparel in 2015 if the goal is reached, you need to calculate 15% of the total number of students participating in high school athletic programs.

Let's assume you have the actual number of students participating in high school athletic programs in 2015. Multiply this number by 0.15 (or divide it by 100 and multiply by 15) to find 15% of the total number of students. This will give you an approximation of the number of students wearing the company's athletic apparel.

please figure this out yourself. It is beneficial for children to understand that looking on the internet for answers will not help you.