Direction: Answer the following question through evaluating each given polynomial function. 1. The profit P (in millions) of a certain brand of energy drink in a year is represented by the polynomial equation P(t) = 5t3 + 20t2 – 30t – 240 where t is the number of years. How much is the profit after 6 years? 2. If you look at the cross sections of a honeycomb, you will see patterns of hexagons. Suppose that the number of hexagon H inside a honeycomb is given by the polynomial function H(y) = 3y2 – y + 1 where y is the number of layers inside the honeycomb. If there are 5 layers inside the honeycomb, how many hexagons are present inside? 3. In 2010, the population P of a certain municipality is modeled by the function P(t) = 6t3 – 700t2 + 5000t + 140000 where t is the number of years after 2010. What is the population of the municipality after 2019? 4. A windmill generates power based on the speed of the wind. This is represented by the function P(s)= s5/100 , where s represents the speed of the wind in kilometers per hour. How many units of power, P(s), can the windmill generate if the wind speed is 10 kilometers per hour? 5. The number of cable TV systems sold after year 2010 can be modeled by the polynomial function C(t) = -43.2t2 + 1343t + 790, where t represents the number of years since 2010. How many Cable TV systems is sold at the end of 2016?
Direction: Answer the following question through evaluating each given polynomial
function.
1. The profit P (in millions) of a certain brand of energy drink in a year is
represented by the polynomial equation P(t) = 5t3 + 20t2 – 30t – 240 where t is
the number of years. How much is the profit after 6 years?
2. If you look at the cross sections of a honeycomb, you will see patterns of
hexagons. Suppose that the number of hexagon H inside a honeycomb is
given by the polynomial function H(y) = 3y2 – y + 1 where y is the number of
layers inside the honeycomb. If there are 5 layers inside the honeycomb, how
many hexagons are present inside?
3. In 2010, the population P of a certain municipality is modeled by the function
P(t) = 6t3 – 700t2 + 5000t + 140000 where t is the number of years after 2010.
What is the population of the municipality after 2019?
4. A windmill generates power based on the speed of the wind. This is
represented by the function P(s)= s5/100
, where s represents the speed of
the wind in kilometers per hour. How many units of power, P(s), can the
windmill generate if the wind speed is 10 kilometers per hour?
5. The number of cable TV systems sold after year 2010 can be modeled by the
polynomial function C(t) = -43.2t2 + 1343t + 790, where t represents the
number of years since 2010. How many Cable TV systems is sold at the end
of 2016?
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