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The scatter plot shows the population of a town, P. (in thousands) t years after 2000. Which function
represents a good approximation of a linear model for the scatter plot?

The scatter plot shows the population of a town P in thousands t years after 2000 Which function represents a good approximation of a linear model for the scatt class=

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HunterAslacral

Answer:

P=4x+110

Step-by-step explanation:

The function P = 4x + 110  represents a good approximation of a linear model for the scatter plot.

What is a scatter plot?

It is a type of plot in which points are plotted using the coordinates and the shape of the plot is observed.

The graph is given. From the graph, let's take the points (0, 110) and (6, 130).

Let the function be P = kx + b, where k≠0.

Steps

  • Step 1 of 3

Substitute (0, 110) in this function:

110 = k(0) + b

∴ b = 110

  • Step 2 of 3

Substitute (6, 130) the value of b in the function:

130 = 6k + 110

6k = 20

k = 3.33

  • Step 3 of 3

Now substitute the values of k and b in the function:

P = 3.33x + 110

The function that comes the closest to this is A = 4x + 110.

The other options don't come close to the function that we have determined. Hence they are wrong.

Therefore, the function P = 4x + 110  represents a good approximation of a linear model for the scatter plot. The correct answer is option A.

Learn more about scatter plots here: https://brainly.com/question/6592115

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