1. 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.
a. How many cable TV systems sold after the end of 2015?
b. After 10 years from 2010, what is the expected number of cable TV
systems sold?
2. Suppose that the average fuel (in Liters) consumed by individual vehicles
monthly in Philippines is modeled by the cubic equation F(t) = 0.025t³ – 1.5t²
+ 18.25t + 148, where t in the number of months.
a. What is the average fuel consumed by individual vehicles after half a
year?
b. After 1 year, what is the expected average fuel consumed by individual
vehicles?
3. An owner of a certain resort decided to remove the pollutants on their
swimming pool. The cost C (in pesos) of removing p percent of pollutants from
the swimming pool is given by the polynomial function C(p) = 25x² – 50x +
24500.
a. What is the cost of removing 20% of the pollutants from the swimming
pool?
b. If the owner decided to remove all the pollutants from the swimming
pool, how much would it cost?
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