Question

@Nnesha please help.

Answer 1

My mom helped me on this one. She told me it is c.

Answer 2

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.

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

Answer 3

And how did your mom get C? Any work?

Answer 4

no she looked at the problem and then said c looked pretty good

Answer 5

that's why i am asking you guys because i do not know if she's right she did not explain anything.

Answer 6

You can not solve this question by looking at it and just guessing.

Answer 7

So it says that children's bike is c. And adult's bike is a.

Answer 8

I never said that.

Answer 9

Ok, may we just work on the question please?

Answer 10

So it says:

"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."

"the company is able to have up to 120 hours of building time and 100 hours of testing time for a week."

So first we have to find the restrictions for this equation.

So we can make two equation

testing hours for childrens bike + testing hours for adult's bike \(\le\) amount of testing time

building hours for childrens bike + building hours for adult's bike \(\le\) amount of building time

Answer 11

So one of our two equations are:

testing hours for childrens bike + testing hours for adult's bike \(\le\) amount of testing time
\(\sf 4c + 4a \le 100\)

Make the second equation, using everything I have said so far.

Answer 12

\[4c+6a \le100\]

Answer 13

@TheSmartOne

Answer 14

i believe the answer is a

Answer 15

@TheSmartOne

Answer 16

How would it be A if you said the second equation is

\(\sf 4c+6a\le100\)

Remember that your question says:
"the company is able to have up to 120 hours of building time"

Answer 17

so if it means "able" it would be either c or d

Answer 18

d is the correct answer ^@TheSmartOne

Answer 19

Nope.

Answer 20

Correct your equation first.

Answer 21

what? it is not c is it, because you told me it was not @TheSmartOne

Answer 22

I never said anything was correct or wrong. You need to fully work out your problem to get your correct answer. You can not do half of the work and assume what the answer is.

Answer 23

i did all the work you told me that the company is "able", so i new it was going to be yes... so it has to be c. let me look at the equations first

Answer 24

it is c, because the equations are good. Thank you

Answer 25

Well good luck with your wrong answer then.

Answer 26

How is it wrong?

Answer 27

You said that this was the second equation. Yet, I do not seem to find that in any of the answer choices.

\[4c+6a \le100\]

Answer 28

^ That equation is wrong btw.

Answer 29

But 100 isn't correct.

Answer 30

4c+6a<=120

Answer 31

b is the correct answer?

Answer 32

i do not understand why

Answer 33

So now our two correct equaitions are:

\(\sf 4c + 4a \le 100\)

and

\(\sf 4c+6a \le120\)


We are not completely done. But we have the 2 correct equations. So which 2 choices can we eliminate since they have the wrong equations?

Answer 34

It seems like you do not want to know how to get the correct answer, but are rather interested in just getting the correct answer so you can move on with the rest of your questions.

Answer 35

we can eliminate b and d

Answer 36

Correct.

Answer 37

@TheSmartOne

Answer 38

nice

Answer 39

So now to find out if it is A or C. We have to complete the last part in your question:

"determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week."

Answer 40

well the one that says"yes" makes more sense because it meets the restrictions. So that is a true statement.

Answer 41

So plug in

\(\sf c= 20 \\ a = 6\)

Into both of the correct equations. And see if it works for both equations or if it doesn't.

Answer 42

116 is less than or equal to 120 is true

Answer 43

144 is less than or equal to 100 is false

Answer 44

@TheSmartOne i have things to do no offense i cannot be waiting on your time.

Answer 45

No offense, but your question could have been solved faster if you didn't just throw random guesses.

Answer 46

So you said that the two equations did not satisfy those 2 points. So that means the answer is no, because those bike orders does not meet their requirements.


So your final answer is A.

Answer 47

Next time, ask your mom to show how she got her answer. If she guesses it is only a 25% chance she got it correct. And that won't help you how to solve it. Sure you got the answer, but on test day, good luck.

Answer 48

@help_people

Answer 49

ok