Question

Seth found 50 plants before adding volunteers to the search, and the rate of increase is 12% per volunteer.

Part A
The function n that models the situation is n(x) =

Answer 1

Explanation:

To model the situation described, we can use the following function:

n(x) = 50(1 + r)^x

where x is the number of volunteers added to the search, r is the rate of increase per volunteer (0.12 in this case), and 50 represents the initial number of plants found by Seth before adding any volunteers.

The function n(x) represents the total number of plants found after x volunteers have joined the search. Each volunteer increases the number of plants found by a factor of (1 + r), or 1.12 in this case. Therefore, after x volunteers have joined, the total number of plants found is 50(1 + 0.12)^x.

So, the function that models the situation is:

n(x) = 50(1 + 0.12)^x

or simplified,

n(x) = 50(1.12)^x.