Question

a population of cattle is increasing at a rate of 300 10t per year, where t is measured in years. by how much does the population increase between the 7th and the 10th years? total increase

Answer 1

The population increase between the 7th and 10th years for the cattle population growing at a rate of 300(10^t) per year, find the difference in population at those two points in time. This involves computing the population increase at t=7 and t=10 and subtracting the former from the latter.

Step-by-step explanation:

A population of cattle is increasing at a rate defined by the function 300(10t) per year, where 't' is measured in years. To find out by how much the population increases between the 7th and 10th years, we must calculate the difference in population at t=10 and t=7.

First, calculate the population increase at t=7 years:

• Population increase at t=7 = 300(107)

Then, calculate the population increase at t=10 years:

• Population increase at t=10 = 300(1010)

To find the total increase between these years, subtract the population at t=7 from the population at t=10:

• Total increase = Population increase at t=10 - Population increase at t=7

This is equivalent to:

• 300(1010) - 300(107)

Carry out the subtraction to get the final result.