Derek found a function that approximately models the population of iguanas in a reptile garden, where x represents the number of year since the iguanas were introduced into the garden i(x) = 12(1.9)^x rewrite this function in a form that reveals the monthly grow rate of the population of iguanas in the garden. round the growth factor to the nearest thousandth

Monthly growth function is and growth rate is 0.075.

Step-by-step explanation:

We are given,

The function which models the population of iguanas in a reptile garden is , where x is the number of years.

As,

i.e.

So, the monthly growth rate function becomes,

i.e. .

Hence, the monthly growth rate population of iguanas is i.e. .

Moreover, the growth factor is = 0.075.

Hence, the growth factor rounded to nearest thousandth is 0.075

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.