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6. a summer camp has 200 children enrolled this year. a if there were 1…

Question

  1. a summer camp has 200 children enrolled this year.

a if there were 125 children enrolled last year, what was the percent increase in enrollment from last year to this year?
b the camp director uses the percent increase from last year to predict the number of children that will enroll next year. how many children are predicted to enroll next year? show or explain your thinking.

Explanation:

Step1: Calculate enrollment increase

$200 - 125 = 75$

Step2: Find percent increase

$\text{Percent Increase} = \frac{75}{125} \times 100\% = 60\%$

Step3: Calculate next year's enrollment

$\text{Next Year Enrollment} = 200 \times (1 + 60\%) = 200 \times 1.6 = 320$

Answer:

a. 60%
b. 320