Question

The scatterplot to the left depicts the carbon dioxide (CO2)
concentration, in parts per million (ppm) above 250 ppm, in Earth's
atmosphere between the years 1850 and 2000. Which of the following
functions best models y, the CO2 concentration above 250 ppm, 3
years after 1850 ?
y = -0.00522 - 0.296x - 39.430
y = -0.00522 - 0.296x + 39.430
y = 0.005x2 - 0.2962 – 39.430
y = 0.005x2 - 0.2962 + 39.430
I would be guessing.

Answer 1

Answer:

y = -0.00522 - 0.296x + 39.430

Step-by-step explanation:

Answer 2

The function best models y, the CO2 concentration above 250 ppm, 3 years after 1850 is $y=0.005x^2-0.2962x+39.430$

What is scatter plot?

"It is a graphical representation where it uses dots to represent values for two different numeric variables."

What is quadratic function?

"It is a function of the type $f(x)=ax^2+bx+c$ where a, b ,c are real numbers with a ≠ 0"

For given question,

Let the quadratic function that models is of the type $y=ax^2+bx+c$

From the scatter plot,

For x = 0,

the value of y is 39.430

So, the value of c for given quadratic function is c = 39.430

The graph increases in upward direction.

This means the coefficient 'a' of quadratic term must be positive.

So, from given options, the value of 'a' must be 0.005

From given quadratic functions,

the middle term of the quadratic function must have value b = -0.2962

Therefore, the function best models y, the CO2 concentration above 250 ppm, 3 years after 1850 is $y=0.005x^2-0.2962x+39.430$

Learn more about quadratic functions here:

https://brainly.com/question/5975436

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