bigbadsamari
contestada

(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

Respuesta :

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:

[tex]4c + 6a \leq 120[/tex]

Considering the testing time:

[tex]4c + 4a \leq 100[/tex]

When c = 20, a = 6:

[tex]4c + 6a = 80 + 36 = 116 \leq 120[/tex]

[tex]4c + 4a = 80 + 24 = 104 > 100[/tex]

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

Otras preguntas