Final answer:
The equilibrium point for the supply and demand functions is (3, 17).
Step-by-step explanation:
The equilibrium point for the supply and demand functions can be found by setting the quantity demanded equal to the quantity supplied. The supply function is given by S(x) = 4x + 5, and the demand function is given by D(x) = 44 - 9x. To find the equilibrium point, we set these two functions equal to each other:
4x + 5 = 44 - 9x
Combining like terms, we get:
13x = 39
Dividing both sides by 13, we get:
x = 3
Substituting this value back into either the supply or demand function, we can find the corresponding price at the equilibrium point. Let's use the supply function:
S(3) = 4(3) + 5 = 17
Therefore, the equilibrium point is (3, 17).