Question

v\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 10 child bikes and 12 adult bikes in the week.

Answer 1

What do you think?

Answer 2

Where are the choices first of all?

Answer 3

User's gone. RIP

Answer 4

"which system of inequality" but nothing to choose from. Plz try again

Answer 5

RIP in the chat for cj

Answer 6

choices:

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

write one inequality for the build time and one for the work time

child bike requires 4 hours to build, adult bike requires 6 hours to build. with 120 hours max of build time.

so for (c) child bikes, 4*c hours are spent building, and (a) adult bikes require 6a hours to build

adding them together, and setting them less than or equal to 120

4c + 6a ≤ 120

repeat the logic for the test time

then, since it wants to see whether whether the company can build 10 child bikes and 12 adult bikes, set c = 10 and a = 12 and see whether it fits the constraints of the inequality or not