Question

A zumba instructor charges according to the number of participants. If there art 15 participants or below, the instructor charges 500.00 for each participant per month. If the number of participants is between 15 and 30 , he charge 400.00 for each paetricipants pe month . If there are 30 partricipantsor more . he charge 350.00 for each partricipas per month

Answer 1

The piecewise function that describes what the instructor charges is; f(x) = 500x , 0 < x ≤ 10

400x , 10 < x < 25

350x , x ≥ 25

How to create piecewise functions?

Let x represent the number of participants and let y represent the charge per participant.

Now, y depends on x, and as such we can say that;

f(x) = y

For, 0 < x ≤ 10, the total charges is 500x,

f(x) = 500x , 0 < x ≤ 10

For 10 < x < 25, total charge is 400x,

f(x) = 400x , 10 < x < 25

For x ≥ 25, the total charge is 350

f(x) = 350x x ≥ 25

Therefore, we can say that;

f(x) = 500x , 0 < x ≤ 10

400x , 10 < x < 25

350x , x ≥ 25

Read more about piecewise functions at; brainly.com/question/18499561

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Write the piecewise function that describes what the instructor charges.