Question

The group wants to travel from its current location on the map to the South Pole, and then directly back to base camp, passing through their current location. There are 5 people in the group and they expect to travel an average of 10 miles per day. Remember that each person needs 6000 calories per day. Based on your response to item 3, what is the minimum number of calories the group is expected to consume during the entire trip?

the answer to number 3 is 75 miiles​

Answer 1

The minimum number of calories the group is expected to consume during the entire trip from current location to southpole and back to camp is 375 kilo calories.

What is Pythagoras theorem?

Pythagoras theorem says that in a right angle triangle the square of hypotenuse side is equal to the sum of square of other two legs of right angle triangle.

There are total 5 miles in one block and current location to the South Pole there are 5 blocks on map. Thus, the total distance from current location to the South Pole is,

$x=5\times5\\x=25\rm\; miles$

There are total 12 blocks from current location to the camp on map. Thus, the total distance from current location to the camp is,

$y=12\times5\\y=60\rm\; miles$

The shortest distance from South Pole to camp is,

$z=\sqrt{25^2+60^2}\\z=\sqrt{4225}\\z=65\rm\; miles$

Total distance group travel from if it wants to travel from its current location on the map to the South Pole, and then directly back to base camp, passing through their current location is,

$n=65+60\\n=125\rm\; miles$

The group travel an average of 10 miles per day. Thus, number of days to cover distance,

$\dfrac{125}{10}=12.5\rm\; days$

There are total 5 people in group and they consume each person needs 6000 calories per day. Thus, total calories,

$C=12.5\times6000\times5\\C=375000 \rm\;C\\C=375 \rm\; kC$

Thus, the minimum number of calories the group is expected to consume during the entire trip from current location to southpole and back to camp is 375 kilo calories.

Learn more about the Pythagoras theorem here;

https://brainly.com/question/343682

#SPJ1