Question

a dog owner collected data to see which of his two dogs runs at the greater speed. the graph and the table below show the relationship between the time, in seconds, and the distance, in feet, each dog ran. what is the difference, in feet per second, between the speeds of the two dogs? show your work. answer feet per second

Explanation:

Step1: Calculate Dog A's speed

Speed = Distance / Time. For Dog A, using the first row of the table ($x = 2$ seconds, $y = 56$ feet), speed $v_A=\frac{56}{2}=28$ feet per second.

Step2: Calculate Dog B's speed

From the graph, when $x = 8$ seconds, $y = 200$ feet. Speed $v_B=\frac{200}{8}=25$ feet per second.

Step3: Find the difference in speeds

Difference $=v_A - v_B$. Substitute the values: $28 - 25=3$ feet per second.

Answer:

3 feet per second