Question

The equation d=4 -1/15t represents your distance from home,d, for each minute you walk,t. If you graphed this equation, determine the meaning of the slope in the situation.

A.) the slope represents the time it takes to walk.

B.) the slope represents the rate at which you walk, in distance per unit of time.

C.) the slope represents the distance from home.

D.) the slope represents the time you spent walking

Answer 1

The slope represents the rate at which you walk, in distance per unit of time. Hence, yes; Option B.

Answer 2

When you graph an equation, it should be dependent variable against the independent variable. For this problem, the independent variable is the time, so this is along the x-axis. The dependent variable is d, so this is along the y-axis. Since the slope is Δy/Δx, then it is also equivalent to Δd/Δt. Therefore, the answer is B.