Question

what is the average speed of the turtle for the entire trip?

Explanation:

Step1: Find total distance

From the graph, the turtle starts at $0$ km and ends at $13$ km. So total distance $d = 13$ km.

Step2: Find total time

The turtle starts at $0$ hours and ends at $18$ hours. So total time $t=18$ hours.

Step3: Calculate average speed

The formula for average speed is $v=\frac{d}{t}$. Substituting $d = 13$ km and $t = 18$ hours, we get $v=\frac{13}{18}\approx0.72$ km/h. But if we assume grid - based values (assuming each grid unit is $1$):

• Total distance: Let’s assume \(A=(0,0)\) and \(D=(18,13.5)\) (if we consider the end - point \(D\) more accurately on the grid). Using the formula \(v=\frac{\text{total distance}}{\text{total time}}\), with total distance \(d = 13.5\) km and total time \(t = 18\) hours. Then \(v=\frac{13.5}{18}=\frac{3}{4}\text{ km/h}\)

Answer:

$\frac{3}{4}\text{ km/h}$