Question

A bus route shows a very regular pattern one morning: 8 passengers get on at the first stop. From then on, 3 passengers get off and 5 passengers get on at every stop, until the entire bus is full. If the bus holds 45 passengers in all, at which stop does the bus fill up?

Answer 1

1. 8
2. 8-3+5=10
3. 10-3+5=12
4. 12-3+5=14
5. 14-3+5=16
Are we seeing a pattern here?
Can you solve the problem now?

Answer 2

oh okay so its adding 2

Answer 3

Yes. If 3 people get off and 5 get on, that is a net gain of 2 people at each stop after the first one.

Answer 4

Oh okay but what would be an equation expressing this situation

Answer 5

8+2x>=45

Answer 6

why >= ??

Answer 7

Because it won't come out exactly on 45 and you don't want to have half of a stop.

Answer 8

but the teacher said the answer is like the 20th?

Answer 9

Some people have to do everything the hard way.
1. 8
2. 8-3+5=10
3. 10-3+5=12
4. 12-3+5=14
5. 14-3+5=16
6. 16-3+5=18
7. 18-3+5=20
8. 20-3+5=22
9. 22-3+5=24
10. 24-3+5=26
11. 26-3+5=28
12. 28-3+5=30
13. 30-3+5=32
14. 32-3+5=34
15. 34-3+5=36
16. 36-3+5=38
17. 38-3+5=40
18. 40-3+5=42
19. 42-3+5=44
20. 44-3+5=46

Walla!! On the 20th stop, they get to the 45th passenger.
8+2x>=45
2x>=37
x>=18.5 so 19
Add 1 for the 1st stop.
Walla!!! On the 20th stop they get to the 45th passenger.

Answer 10

wait what do you mean by add 1 to the first stop O:

Answer 11

Did I say to add 1 to the first stop?

Answer 12

I ment like what do you mean by add 1 for the first stop

Answer 13

After the first stop, how many people do they need to get to 45 people?

Answer 14

36

Answer 15

How do you get 36?

Answer 16

45-8?

Answer 17

just kidding, 37 lol

Answer 18

How many people do they gain at each stop?

Answer 19

2