Question

the scatter plot shows the snowfall accumulation in centimeters and the number of drivers on the road. use the equation of the trend line to predict the amount of snowfall in centimeters if there are 10 drivers on the road. a. 6 cm b. 12 cm c. 14 cm d. 10 cm

Explanation:

Step1: Find two points on the trend line

Let's take two points \((0,24)\) and \((8,16)\) from the trend - line.

Step2: Calculate the slope \(m\)

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
Substitute \(x_1 = 0,y_1=24,x_2 = 8,y_2 = 16\) into the formula:
\(m=\frac{16 - 24}{8-0}=\frac{-8}{8}=- 1\)

Step3: Write the equation of the line in slope - intercept form \(y=mx + b\)

Since \(m=-1\) and \(b = 24\) (when \(x = 0,y=24\)), the equation of the line is \(y=-x + 24\)

Step4: Predict the snowfall when \(x = 10\)

Substitute \(x = 10\) into the equation \(y=-x + 24\).
\(y=-10 + 24=14\)

Answer:

C. \(14\) cm