A biologist is studying the elk population in a county park. She starts with only 2 elk and observes that the number of elk triples every year. Which equation can be used to find the number of years, y, it will take for the population to reach 1,458 elk?

The expression that represents the population of elk is: . It'll take 6 years for the population to reach 1,458 individuals.

Step-by-step explanation:

Since the number of elks triples every year and starts at , then after the first year the population will be:

While on the second year, it'll be:

On the third year:

And so on, therefore the expression that describes the population of elk as the years passes is:

If we want to know the number of years until the population reach 1,458 elk, we need to apply this value to the left side of the equation and solve for t.

The population will reach 1,458 elk in 6 years.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet