bigbadsamari
Answered

(05.06)


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

Verified Answer :

According to the described situation, the system of inequalities that  best explains whether the company can build 20 child bikes and 6 adult bikes in the week is given by:

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

What is the system of inequalities?

Considering the variables c and a, for the number of child and adult bikes, respectively, we have that, considering the building time:

\(4c + 6a \leq 120\)

Considering the testing time:

\(4c + 4a \leq 100\)

When c = 20, a = 6:

\(4c + 6a = 80 + 36 = 116 \leq 120\)

\(4c + 4a = 80 + 24 = 104 > 100\)

Hence, the correct option is:

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

More can be learned about a system of inequalities at https://brainly.com/question/9774970

gisellegendelman

Answer:

the first one

Step-by-step explanation:

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

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