The members of a film crew are at least 75 miles from their camp and must carry equipment back to camp before a storm arrives. The storm is scheduled to begin in 24 hours. They plan to travel as far as possible by truck and then walk the rest of the way. The truck can travel at a rate of 10 miles per hour through the terrain, and the team can travel 2 miles per hour on foot.

Question

anonymous · Answer

Which system represents the number of hours the crew can travel by truck, x, and on foot, y, to reach camp before the storm? x + y < 24 2x + 10y ≥ 75 x + y > 24 2x + 10y ≥ 75 x + y < 24 10x + 2y ≥ 75 x + y > 24 10x + 2y ≥ 75

godlovesme · Answer

Srrry idk :(

some.random.cool.kid · Answer

uh do they give you a graph of some sort because wow thats hard.

skullpatrol · Answer

The first thing you need to know is the distance formula: 

$$\large	ext{distance travelled = rate X time travelled}$$

skullpatrol · Answer

do you recall that @justsmile531 ?

anonymous · Answer

Yes .

skullpatrol · Answer

So, the time by truck, x, and the time by foot, y, should add up to less than 24 hours, right?

anonymous · Answer

Yes so A and C are crossed out

skullpatrol · Answer

what is that in symbols?

anonymous · Answer

x + y < 24 . 

 So B and D are crossed out

skullpatrol · Answer

Yes. :-)

skullpatrol · Answer

The truck travels at 10 mi/h and travelling by foot is 2 mi/h...

anonymous · Answer

So the answer would be C

skullpatrol · Answer

x + y < 24
10x + 2y ≥ 75 

YES!

some.random.cool.kid · Answer

congrats

anonymous · Answer

Yay ! Thank youu so mucchh!!

skullpatrol · Answer

Thanks for trying so hard to learn something new :)

anonymous · Answer

Thank you for being patient and helping