Question

Bryan decides he wants to help pay for a birthday party for his little brother at the ice rink. It cost $50 to rent the party room and then $4 for each person attending. Bryan only has $100 to spend at the party. a) What are the constraints for this situation? b) Find the domain and range for this situation. Make sure you include all values for each using correct notation.

Answer 1

a) 4*x + 50 ≤ 100

b) Domain x (0 ; 12 ) Range f(x) ( 50 ; 98 )

Explanation:

The constraint is:

4*x + 50 ≤ 100 where "x" is the number of persons

b) Domain for x

x = 0 up to x = 12 x (0 ; 12 )

c) Range for f(x)

f(x) = 4*x + 50

f(0) = 4*0 + 50 f(0) = 50

f(12) = 4*12 + 50 f (12) = 98

f(x) ( 50 ; 98 )