Question

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A diver descended 20 feet in 5 seconds. What is the average rate per second that he traveled? Explain how you can use integer tiles to solve the problem and find the answer.

Answer 1

the diver is moving down , so he moved -20 feet . Start with 20 negative tiles and seperate them into 5 equal groups. there r 4 negative tiles in each group, so he travelled at the rate of -4 feet per second

Answer 2

Given,

A diver descends 20 feet in 5 seconds.

To find,

Average rate per second he has travelled.

Solution,

The average rate of travel can be calculated by finding the speed of the diver.

Let say the diver has an average speed of n ft/s. This means that every second, the diver is covering a distance of n feet.

Average speed = $\frac{distance}{time}$

                          = $\frac{20ft}{5s} = 4ft/s$

Solving this problem using integer tiles, we assign each tile a distance of 1 foot, and for every second four such tiles are added to the total distance.

The other way to approach it is, twenty integer tiles have to be divided equally into five groups as five seconds is given. This was, this problem can be explained using the integer tiles method.

The average rate of descending is  $4ft/s$.