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 admission and an additional $2 per ride.

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

A) In function notation,

write B (x) to represent the total cost of attending carnival B and going on x rides.

b) Determine the number of rides Marnie can go on such that the total cost of attending each carnival is the same.

Question

Lucas Hunt

Mathematics

18 April, 14:11

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 admission and an additional $2 per ride.

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

A) In function notation,

write B (x) to represent the total cost of attending carnival B and going on x rides.

b) Determine the number of rides Marnie can go on such that the total cost of attending each carnival is the same.

+4

Answers (1)

Know the Answer?

Patterson · Answer 1

Step-by-step explanation:

carnival A : $ 6 dollar admission and $ 1.50 per ride

A (x) = 1.5x + 6

carnival B : $ 2.50 admission and $ 2 per ride

B (x) = 2x + 2.5

how many rides can Marnie go on so that the total cost of attending both is the same ...

1.5x + 6 = 2x + 2.5

6 - 2.5 = 2x - 1.5x

3.5 = 0.5x

3.5 / 0.5 = x

7 = x <== = she would have to go on 7 rides for them to both cost the same