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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

2 Answers

6 votes
the answer that i got for your question is the first answer.
User Ayush Raj Singh
by
8.1k points
4 votes

Answer:

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

Explanation:

The correct answer is option 1:


4c+6a \leq 120 (As each child bike takes 4 hours to build and each adult bike takes 6 hours to build, and the company has building time up to 120 hours)


4c +4a\leq 100 (As each child bike takes 4 hours to test and each adult bike takes 4 hours to test, and the company has testing time up to 100 hours)

We will substitute 20 for 'c' and 6 for 'a'


4(20)+6(6) \leq 120


80+36 \leq 120


116 \leq 120

This is true.

For the second inequality;


4(20)+4(6) \leq 100


80+24 \leq 100


104 \leq 100

So, this is not true.

Hence, option 1st is true.

User Sneeky
by
8.9k points

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