Question

The table shows data from a travel agency, representing the number of guests on a trip (x) and the estimated dollar

Answer 1

The slope of the best fit for the 3 given points is 500, so the correct option is b.

How to find the slope?

Remember that for a line that passes through two points (x₁, y₁) and (x₂, y₂) the slope is:

$s = \frac{y_2 - y_1}{x_2 - x_1}$

With the 3 given points we can find 3 slopes, and then we will need to find the average of these 3.

The 3 points are: (3, 2,750), (6, 4,200), and (9,5,750)

Then the 3 slopes are:

$s_1 = \frac{4,200 - 2,750}{6 - 3} = 483.3\\\\s_2 = \frac{5,750 - 2,750}{9 - 3} = 500\\\\s_3 = \frac{5,750 - 4,200}{9 - 6} = 516.7$

The average slope is:

$S = (483.3 + 500 + 516.7)/3 = 500$

So the correct option is b.

If you want to learn more about slopes:

brainly.com/question/1884491

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