Answer :
The function that represents the cost of going to the museum for a group size of 50 is f(x) = 40x + 40.
What is a piecewise function ?
Piecewise function is defined as a function which contains sub functions according to it's independent variable.
According to the given question A museum charges 40 dollars for a group of 10 or fewer people.
This can be represented by f(x) = 40 for 1≤x≤10.
A group of more than 10 people must, in addition to the 40 dollars, pay 2 dollars per person for the number of people above 10.
This can be represented by f(x) = 2x + 40 for x > 10.
The maximum group size is 50 this can be represented as
f(x) = 40x + 40.
As cost of 10 people is 40 dollars remaining is 40 people which costs 2 dollars per person.
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