Next weekend, Marnie wants to attend either carnival A or carnival B. Carnival A charges $6 for admission and an additional $1.50 per ride. Carnival B charges $2.50 for addmission and an additional $2

Question

In function notation, write A(x) to represent the total cost of attending carnival A and going on x rides. In function notation, write B(x) to represent the total cost of attending carnival B and going on x rides.

Determine the number of rides Marnie can go on so the total cost of attending each carnival is the same.(The use of a set of axes as shown below is optional.)

Answer 1

Carnival A charges $6 plus $1.50 per ride ---> A(x) = 6.00 + 1.50x

Carnival B charges $2.50 plus $2 per ride ---> B(x) = 2.50 + 2.00x

To figure out the number of rides Marnie can go on so the cost is the same, set up the equations to equal each other and solve

6.00 + 1.50x = 2.50 + 2.00x

6.00 - 2.50 = 2.00x - 1.50x

3.50 = 0.50x

3.50/.50 = x

7 = x