Agroup of entomologists has determined that the population of ladybugs at a local park can be modeled by the equation y = − 1.437 x + 197.686 , where x represents the number of years since 2010 and y represents the number of ladybugs, in thousands.
a) predict the ladybug population at the park in 2024.
b) predict the ladybug population at the park in 2060.

A) 177.568 thousand.

B) 125.836 thousand.

In this question, it is asking you to use the equation to find the population of ladybugs in a certain year.

Equation we're going to use:

We know that the "x" variable represents the number of years since 2010, so that means our starting year is 2010.

Lets solve the question.

Question A:

We need to find the ladybug population is 2024.

2024 is 14 years after 2010, so our "x" variable will be replaced with 14.

Your equation should look like this:

Now, we solve.

You should get 177.568

This means that the population of ladybugs in 2024 is 177.568 thousand.

Question B:

We need to find the ladybug population is 2060.

2060 is 50 years after 2010, so the "x" variable would be replaced with 50.

Your equation should look like this:

Now, we solve.

This means that the population of ladybugs in 2060 would be 125.836 thousand.

725 parts per hour.

step-by-step explanation:

hi there, this answer is actually really simple.

you can set it up as 1450/2 or 3625/5 to find the answer.

they want to know how much per hour is being made, so you just divide.

1450/2=725.

and that's how many are produced per hour.

hope this . : )

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq