Question

5. The total cost in dollars for competition fees for the swim team can be found using

the function c = 15.95s + 25.50, where s is the number of swimmers on the team. If
there are at least 5 swimmers but not more than 9 swimmers on the swim team,
what is the domain of the function for this situation?

Answer 1

105.25>=c<= 169.05

Explanation:

Step one:

given that the function for the total cost is

c = 15.95s + 25.50------------1

the linear function above is the same as the equation of a straight line

y=mx+c-----------2

comparing the two equations

the total cost y=c

the gradient 15.95= m

the independent variable s=x

the constant term c=25.5

Now, the domain of a function is the corresponding output to an input value.

for s=5

c = 15.95(5) + 25.50

c=79.75+25.5

c=105.25

for s=9

c = 15.95(9) + 25.50

c=143.55+25.5

c=169.05

Therefore the domain is between 105.25>=c<= 169.05