Final answer:
The environmental group needs to collect 2,000 signatures in total and has already collected 750 signatures. There are 5 weeks remaining. The number of signatures the group needs to collect each week is 250.
Step-by-step explanation:
The environmental group needs to collect 2,000 signatures in total, and they have already collected 750 signatures. There are 5 weeks remaining to collect signatures. To find the number of signatures the group needs to collect each week, we can subtract the number of signatures collected so far from the total number of signatures needed, and then divide by the number of weeks remaining.
Number of signatures needed each week = (Total number of signatures needed - Number of signatures collected so far) / Number of weeks remaining.
Plugging in the given values, we have:
Number of signatures needed each week = (2,000 - 750) / 5 = 250.
Therefore, the number line representing the number of signatures the group needs to collect each week is: 0, 250, 500, 750, 1,000, 1,250, 1,500, 1,750, 2,000.