Termites reproduce at a rate of about 2.4% each day. Your house has 1,200 termites in it’s foundation.

• Determine an equation that models the reproductive rate of the termites in the house.
•How long will it take for the number of termites to double?

29 days

Step-by-step explanation:

1200(1.024)^n = 2400

(1.024)^n = 2

n log 1.024 = log 2

n = (log 2) / log1.024 = 29 days

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: