Question

HELP - THIS IS DUE TONIGHT. ;-;

A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week.

Answer 1

a. No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

b. No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100

c. Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

d. Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100

Answer 2

@ganeshie8 @phi @agent0smith @campbell_st @terenzreignz @ranga

Answer 3

I'm sooooo sorry for wasting your time. I think I got the answer. If you'd like, I can show what I think is correct.

Answer 4

child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week.

for testing, 4 hrs per child bike, 4 per adult
4c + 4a ≤100

for building, 4 hrs per child bike, 6 hrs per adult
4c + 6a ≤120

20 child bikes and 6 adult...
check if c=20 and a=6 work in both those inequalities.

Answer 5

So I made the system:\[4c+6a \le120\]\[4c+4a \le100\]So, that means it cannot be B.

Now to do the math...and plug in the values:

\[4(20)+6(6)\]\[80+6(6)\]\[80+36\]\[116\]Okay, thats good.\[4(20)+4(6)\]\[80+4(6)\]\[80+24\]\[104\]uh-oh, so the answer must be A...