The initial cost for attendance to carnival A is $12and each ride costs $2. The initial cost for attendance to carnival B is $16 and each ride cost $1.50.

Question

a) in function notation write A(x) to represent the total cost of attending carnival A and going on x rides?
I did A(X)= 2x+12

b) in function notation write B(x) to represent the total cost of attending carnival B and going on x rides? I did B(x)=1.5x + 16
C) Determine the number of rides Jerry can go on such that the total cost of attending each carnival is the same.
2x+12=1.5x+16 2x=1.5x+4 .5x=4 x=8 so 8 rides
D) Jerry wants to go on 5 rides. Determine which carnival would be the lower total cost. justify your answer
a(X)=2(5)+12=$22 B(x)=1.5(5) +16 = $23.5
so Carnival A is cheaper for 5 rides

I think these are all correct but I just want to have them double checked. Thank you.

Answer 1

a. Correct.
b. Correct.
c. Correct.
d. Correct.

Answer 2

Thank you