Question

Distance and Midpoints: Word Problems1. Ms. Merchlewitz was hiking over break. She startedin a valley 24 feet below sea level and hiked up asmall mountain to an elevation of 580 feet.What is the total distance Ms. Merchlewitz hiked?She stopped for lunch at the midpoint of her hike. Whatwas the elevation where Ms. Merchlewitz ate her lunch?

Answer 1

1. Ms. Merchlewitz was hiking over break. She started

in a valley 24 feet below sea level and hiked up a

small mountain to an elevation of 580 feet.

What is the total distance Ms. Merchlewitz hiked?

She stopped for lunch at the midpoint of her hike. What

was the elevation where Ms. Merchlewitz ate her lunch?

Part 1

Remember that the level zero is the sea level

so

She started in a valley 24 feet below sea level

-24 ft

and hiked up a small mountain to an elevation of 580 feet.

+580 ft

the distance is equal to

580-(-24)=580+24=604 ft

Part 2

the midpoint is equal to

604/2=302 ft