Question

name
unit 9, day 9 hw
1.
draw a trend line for the above data.

1. what is the equation for the trend line that you drew?
2. based on your equation, what would the shoveling time be if it snowed 25 inches? show your work.

Explanation:

Step1: Identify trend line points

Choose two points on the given trend line: $(0, 50)$ (y-intercept) and $(10, 5)$.

Step2: Calculate slope

Slope $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 - 50}{10 - 0} = \frac{-45}{10} = -4.5$

Step3: Write trend line equation

Use slope-intercept form $y = mx + b$, where $b=50$.
$y = -4.5x + 50$

Step4: Predict for 25 inches

Substitute $x=25$ into the equation.
$y = -4.5(25) + 50 = -112.5 + 50$

Answer:

1. (The trend line is already drawn on the graph, following the negative linear pattern of the data points.)
2. $y = -4.5x + 50$
3. $-62.5$ (Note: A negative value here indicates the trend line is not valid for 25 inches, as shoveling time cannot be negative; the trend only applies to the range of the original data, 0-10 inches of snow.)