Question

The three-toed sloth is an extremely slow animal. On the ground, it travels at a speed of about $6$ feet per minute. This is the graph for the distance ($y$) a sloth will travel in $x$ minutes. Find the constant of variation.

• A. $4$ feet per minute
• B. $5$ feet per minute
• C. $6$ feet per minute
• D. $7$ feet per minute

Answer 1

The correct option is C $6$ feet per minute

Since according to the graph, the Sloth covers a distance of 6 feet in one minute.

So, constant of variation (i.e. slope of graph) $=\frac{\Delta y}{\Delta x}=\frac{6}{1}=6$ feet per minute.