The MAIN benefit of the committee system in the Georgia General Assembly is that

(1 point)
Responses

committees force members of the majority and minority parties to reach compromises.
committees force members of the majority and minority parties to reach compromises.

committees allow members of paid interest groups to influence the design and wording of bills.
committees allow members of paid interest groups to influence the design and wording of bills.

committees ensure that when bills are presented to the entire House, passage is guaranteed.
committees ensure that when bills are presented to the entire House, passage is guaranteed.

committees save time by reviewing and editing bills before they are presented to the entire House.

committees save time by reviewing and editing bills before they are presented to the entire House.

A recycling club collected plastic bottles. After the first month of collecting, they had 40 bottles. After the second month, they had 50. They

expected their collect each month to grow exponentially. If that's true, they would have
_____ bottles after month 3 and the equation modeling the situation would be ___ .

If the recycling club expects their collection to grow exponentially, we can assume that the number of bottles collected each month follows a pattern where they increase by a certain percentage over the previous month.

To find out how many bottles they would have after the third month, we can try to find the growth rate between the first two months.

From the first month to the second month, the number of bottles increased from 40 to 50, which is a growth rate of (50-40)/40 = 0.25 or 25%.

If this growth rate continues into the third month, we can calculate the number of bottles they would have using the formula for exponential growth:

Number of bottles after month 3 = Number of bottles after month 2 * (1 + growth rate).

Plugging in the values we have:
Number of bottles after month 3 = 50 * (1 + 0.25) = 50 * 1.25 = 62.5

Therefore, they would have 62.5 bottles after the third month.

The equation modeling the situation would be:
N = 40 * (1.25)^(m-1)
where N represents the number of bottles after m months.