Question

now, plot the points to represent how far samara has traveled after 0, 1, 2, 3, and 4 minutes.
time since start of hike (min) | distance traveled (ft)
0 | 0
1 | 150
2 | 300
3 | 450
4 | 600
great job!
what is the slope of this line? in other words, how many feet does samaras distance traveled increase per minute?
the slope is .

Explanation:

Step1: Recall slope formula

The slope \( m \) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Choose two points

From the table, we can take the points \((0, 0)\) and \((1, 150)\) (or any other two points like \((2, 300)\) and \((3, 450)\), etc.).

Step3: Calculate slope

Using the formula \( m=\frac{y_2 - y_1}{x_2 - x_1} \) with \((x_1, y_1)=(0, 0)\) and \((x_2, y_2)=(1, 150)\), we get \( m=\frac{150 - 0}{1 - 0}=\frac{150}{1}=150 \).

Answer:

150