jlchandl
15.06.2020 •
Mathematics
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. (2 points) Select one: 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
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Ответ:
the first option is the answer
Step-by-step explanation:
4c + 6a <= 120 [building hours]
4c + 4a <= 100 [testing hours]
4 * 20 + 6 * 6 <= 120
80 + 36 <= 120
116 <= 120
true, they have enough building hours
4 * 20 + 4 * 6 <= 100
80 + 24 <= 100
104 <= 100
false, they won't have enough testing hours
the first option is the answer
Ответ: