Problem

The population of a town is increasing by 632 people per year. State whether this growth is linear or exponential. If the population is 1400 today, what will the population be in four years? Is the population growth linear or exponential? exponential linear What will the population be in four years?

Solution

Step 1 :The population of a town is increasing by 632 people per year. We need to determine whether this growth is linear or exponential. If the population is 1400 today, we need to calculate what the population will be in four years.

Step 2 :First, let's determine whether the growth is linear or exponential. In this case, the population is increasing by a constant amount each year, which is characteristic of linear growth. Therefore, the population growth is linear.

Step 3 :Next, we need to calculate the population in four years. We can do this by adding the annual growth multiplied by the number of years to the current population. In mathematical terms, this can be expressed as \(future\_population = current\_population + annual\_growth \times years\).

Step 4 :Substituting the given values into the equation, we get \(future\_population = 1400 + 632 \times 4\).

Step 5 :Solving the equation, we find that the future population will be 3928.

Step 6 :Final Answer: The population growth is \(\boxed{linear}\). The population in four years will be \(\boxed{3928}\).

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