Question

The graph shows the location of Karen’s, Amanda’s, and Zaley’s houses on a coordinate plane. Each unit of the graph represents 1 block.

Zaley is going to babysit for Amanda and Karen. How many total blocks will she travel if she goes to Amanda’s house, then to Karen’s and finally back home? Round your answer to the nearest whole block.
A. 8 blocks
B. 18 blocks
C. 19 blocks
D. 27 blocks

Answer 1

The Answer Is: C

Explanation:

well here we would use the Pythagorean theorem: A^2 +B^2 =C^2

A and B are the legs, so Amanda's distance is A and Zaley's is B

5^2 + 6^2 = C^2

now we find the square root of 5 and 6

5 x 5= 25 and 6 x 6 = 36

25 + 36 = 61

now we have 61^2 = C^2 and we find the square root,

the square root of 61 is 7.8 but we can round up to 8

so Karen's distance is 8 blocks

now we take Amanda, Zaley and Karen's blocks and add them.

5+6+8 = 19

so Zaley is traveling 19 blocks total

Hope this helps you out!

Answer 2

Option C. 19 blocks

Explanation:

From the given graph we can calculate the distances between Zaley to Amanda and Zaley to Karen in blocks so that we can apply Pythagoras Theorem in the given right angle triangle to calculate the distance between Karen and Zaley.

Distance between Amanda and Karen = 6 blocks

Distance between Amanda and Zaley = 5 blocks

Then distance between Karen and Zaley = √5²+6² = √25+36 = √61 = 7.8 ≅ 8 blocks.

Therefore Zaley travels the distance from her house to Amanda, Karen and back to her house will be = 5 + 6 + 8 = 19 blocks

So the answer is Option C. 19 blocks