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Combining Linear Functions

Combining Linear Functions 1.3 - Solution

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a
To calculate the population of the two cities combined, we need to add the given functions. We can find this sum by substituting the function rules into this equation and simplifying.
Therefore, the population of these two cities after any years can be modeled by
b
This time we are asked to find the difference in the populations of these two cities. This means we should subtract the given functions. Let's evaluate this difference by substituting the function rules into this equation and simplifying.
Therefore, we can find the difference in the populations of these cities using the formula