Question

Select the correct answer.
Gareth enjoys swimming. The graph represents Gareth’s distance in feet from the bottom of the pool in terms of the time he swims in minutes.

Graph shows a ray plotted in quadrant 1 of a coordinate plane with time in minutes on X-axis and distance in feet on Y-axis. The ray begins at (0, 12) on Y-axis and it extends through (11, 12).

What is the rate of change of Gareth’s distance from the bottom of the pool with respect to time, and what is his initial distance from the bottom?

A.
rate of change = 0 feet per minute, and distance = 0 foot
B.
rate of change = 12 feet per minute, and distance = 12 feet
C.
rate of change = 12 feet per minute, and distance = 0 foot
D.
rate of change = 0 feet per minute, and distance = 12 feet

Answer 1

D. The slope = (12−12)/(11−0) = 0 feet/min, and the initial distance (y‑intercept at t=0) = 12 feet.