Question

The graph shows the location of Jacob's, Kent's, and Hakim's houses. Each unit on the graph represents 1 kilometer.

Hakim is preparing for a cross country meet. Hakim is going to run from his house to Jacob's, then to Kent's, and finally back home. How many total kilometers did Hakim run? Round your answer to the nearest whole kilometer.

6 kilometers
14 kilometers
18 kilometers
22 kilometers

Answer 1

Option B.

Explanation:

Each unit on the graph represents 1 kilometer.

From the given graph we can say that, the distance between

Kent-Hakim = 4 unit = 4 km

Jacob to kent = 4 units = 4 km

According to the Pythagoras theorem, in a right angled triangle

`hypotenuse^2=base^2+perpendicular^2`

Using the Pythagoras theorem, the distance between Hakim and Jacob is

`hypotenuse^2=(4)^2+(4)^2`

`hypotenuse^2=16+16`

`hypotenuse^2=32`

Taking square root on both sides.

`hypotenuse=√(32)`

`hypotenuse\approx 5.66`

So, the distance between Hakim and Jacob is 5.66 km.

Hakim is going to run from his house to Jacob's, then to Kent's, and finally back home.

So, the total distance covered by Hakim is

`Total=5.66+4+4`

`Total=13.66`

Round the answer to the nearest whole kilometer.

`Total\approx 14`

Therefore, the correct option is B.