Question

The population, P, of a new town is modelled by the formula P = t3 – t? + 25t + 10 000,where t is measured in years. t is set at 0 in the year 2000.Use the formula to predict the population in the year 2010.

a)10,000
b)11,150
c)20,000
d)15,000​

Answer 1

Using the formula P = t³ – t² + 25t + 10 000 and setting t to 10 for the year 2010, we calculate the population to be 11,150.

Step-by-step explanation:

To predict the population of a new town in the year 2010 using the given model P = t³ – t² + 25t + 10 000, where t is the number of years since 2000, we first calculate the value of t for the year 2010.

Since t is zero in the year 2000, for 2010, t would be 2010 - 2000, which is 10 years.

Plugging this value into the equation:

P = 10³ – 10² + (25 × 10) + 10 000
P = 1000 - 100 + 250 + 10 000
P = 1150 + 10 000
P = 11,150

So, the predicted population in the year 2010 is 11,150, which corresponds to option b).