Question

initial value for paulas function: 0
initial value for nancys function: 10
what is paulas speed? find the rate of change.
paulas speed = \square yards per second
paula:

time (seconds), x	0	10	20
distance (yards), y	0	70	140

Explanation:

Step1: Recall the formula for rate of change

The rate of change (slope) formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\).

Step2: Select two points from Paula's data

Let's take \((x_1,y_1)=(0,0)\) and \((x_2,y_2)=(10,70)\).

Step3: Calculate the rate of change

Substitute into the formula: \(m=\frac{70 - 0}{10 - 0}=\frac{70}{10}=7\).

Answer:

7