Question

At a carnival, you use 6 tickets each time you go on a ride. After going on 3 rides, you have 32 tickets left.

Answer 1

Answer:

1)The number of tickets remaining is EQUAL  the number of tickets remaining before going on the ride and MINUS   the number of tickets remaining after going on the next ride.

2)  Function T(r)  = 50 - 6 r models the number of remaining tickets

Step-by-step explanation:

The number of tickets used in each ride  = 6 tickets

Tickets left after going on 3 rides  = 32

Now, The number of tickets used in 1 ride = 6 tickets

So, the  number of tickets used in 3 rides = 6 tickets x 3 = 18 tickets

Total Number of tickets - Tickets used in 3 rides  =  Remaining tickets

or, Total Tickets  = 32 tickets +  Tickets used in  3 rides

                            = 32 + 18  = 50 tickets

The number of tickets remaining is EQUAL  the number of tickets remaining before going on the ride and MINUS   the number of tickets remaining after going on the next ride.

Now, let us assume: T(r) is the number of tickets remaining.

r is the number of rides you have gone on

Now, Total tickets  = 50

Each ride uses 6 tickets.

So, the number of tickets used in r rides  = r x ( 6 tkts) = 6 r

So, the tickets left after r sides  = Total tickets  - Tickets used in r rides

or: T(r)  = 50 - 6 r

Hence, The function T(r)  = 50 - 6 r models the number of remaining tickets

Answer 2

Answer:

The number of tickets remaining is 6 less than the number of tickets remaining before going on the ride and 6 more than the number of tickets remaining before going on the ride.

The function T(r) = 50-6r models the number of remaining tickets where is the number of rides you have gone on and () is the number of tickets remaining.