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the initial starting salary for a summer camp counselor is $14 per week. Starting with the first week, the salary doubles to encourage counselor to work for the entire summer. Write an equation that models the salary (y) of the camp counselor per week (x). if the camp runs for 12 weeks, how much would a camp counselor make?

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Answer:

The equation to determine the salary every given number of weeks is 14x2 ^ X = Y, and after 12 weeks, the counselor's salary will be $ 57,344.

Step-by-step explanation:

Since the initial starting salary for a summer camp counselor is $ 14 per week, and starting with the first week, the salary doubles to encourage the counselor to work for the entire summer, to write an equation that models the salary (y) of the camp counselor per week (x), and determine, if the camp runs for 12 weeks, how much would a camp counselor make, the following calculations should be performed:

14x2 ^ X = Y

14x2 ^ 12 = Y

14x4,096 = Y

57344 = Y

Therefore, the equation to determine the salary every given number of weeks is 14x2 ^ X = Y, and after 12 weeks, the counselor's salary will be $ 57,344.

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