Question

Fun park charges an entry fee of $2 for any family with less than 5 members. The park charges $3 less than the number of family members for the entry of any family with 5 or more members. Write a piecewise equation for this situation

Answer 1

A piecewise function is a function that behaves differently in different intervals.

Here the piecewise function is:

f(x) = $2     if    x < 5  

f(x) = x - $3  if   x ≥ 5

We know that:

"Fun park charges an entry fee of $2 for any family with less than 5 members."

"The park charges $3 less than the number of family members for the entry of any family with 5 or more members."

If we define x as the number of members of a family, the function of the price will be:

f(x) = $2     if    x < 5 (the cost is $2 if the family has less than members)

f(x) = x - $3  if   x ≥ 5   (the cost if the family has 5 members or more)

If you want to learn more, you can read:

brainly.com/question/12561612