For the initial year of a summer camp, 56 girls and 64 boys enrolled. Each year thereafter, 18 more students enrolled in the camp. Let t be the time (in years) since the camp opened. Part A: Write a function rule for the total number of students enrolled t years after the camp opened.

Explanation:

We know that for the initial year of a summer camp, 56 girls and 64 boys enrolled.

The total children enrolled for the initial year can be calculated as :

Each year, 18 more students enrolled in the camp.

The variable '''' represents the time in years since the camp opened.

The following expression :

represents the extra children enrolled each year

If we sum, we can obtain the following expression :

which is the function for the total number of students enrolled years after the camp opened.

The function rule is

For example, when ⇒

which is the original amount of enrolled children when the summer camp opened.

When ⇒

which is the expected value for the total number of students enrolled 3 years after the camp opened.

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