The percentage of obese children aged 12-19 years in the united states is approximatelyp(t) = 0.04t + 4.6 if 0 ≤ t < 10−0.01005t2 + 0.945t − 3.4 if 10 ≤ t ≤ 30where t is measured in years, with t = 0 corresponding to the beginning of 1970. what was the percentage of obese children aged 12-19 at the beginning of 1975? at the beginning of 1986? at the beginning of 1995? (round your answers to two decimal places.)

4.8% of of obese children aged 12-19 at the beginning of 1975.

9.15% of obese children aged 12-19 at the beggining of 1986

13.94% of obese children aged 12-19 at the beggining of 1995

Step-by-step explanation:

The percentage of obese children aged 12-19 years in the United States is given by the following piecewise function:

In which t is measured in years.

What was the percentage of obese children aged 12-19 at the beginning of 1975?

This is the value of P when t = 5, so .

For P(5), we apply the first definition of the piecewise function.

At the beginning of 1986?

The value of P when t = 16, so .

For P(16), we apply the second definition of the piecewise function.

At the beginning of 1995?

The value of P when t = 25, so .]

For P(25), we apply the second definition of the piecewise function.

b

2

−

b

b

3

+

7

b

2

+

14

b

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6

%

−

3

b

3

+

7

b

2

+

14

b

+

6

%

step-by-step explanation: