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The table shows the estimated number of bees, y, in a hive x days after a pesticide is released near the hive.

A 2-column table with 6 rows. The first column is labeled number of days with entries 0, 10, 20, 30, 40, 50. The second column is labeled estimated number of bees with entries 10,000; 7,500; 5,600; 4,200; 3,200; 2,400.
Which function best models the data?

y = 9,958(0.972)x
y = 0.972(9,958)x
y = 9,219x– 150
y = –150x + 9,219

Respuesta :

Answer:

A

Step-by-step explanation:

y = 9,958(0.972)x

Function which best models the given data is -150x + 9219.

What is the solution of an equation?

A solution is an assignment of values to the unknown variables that makes the equality in the equation true.

According to the given question

y represents the number of bees.

and, x represents the number of days.

Since, we have to find the function to represent the given data.

As, we know the given data are the solution of any function, so they must satisfy the function. For this we will take any value of x and y and check whether it satisfy the given function or not.

From the given data,

Let check for the point (0, 1000).

Substitute (0, 1000) in the given function one by one.

For, y = 9,958(0.972)x

At, x = 0

We get y = 0

⇒ ( 0, 1000) is not the solution of the function 9958(0.72)x

For, y = 0.972(9,958)x

At, x = 0

we get y = 0

⇒ (0, 1000) is not the solution for the function 0.972(9958)x

For, y = 9219x - 150

At x = 0

we get y = -150

⇒ (0, 10000) is not the solution of function, 9219x -150

For, y = -150x + 9219

At x = 0

y = 9219 which is nearly equals to 10000 because y is the estimated number of bees.

⇒ (0, 10000) is the solution of the given function y = -150x + 9219 .

Hence, the function which best models the given data is -150x + 9219.

Learn more about solution of the equation here:

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