Question

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

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

Answer 2

@brooke..help00
@KJSaif

Answer 3

@mhchen

Answer 4

What do you think?

Answer 5

This is a test i have taken a bunch of times but always failed :( but i think it was C

Answer 6

So each child bike is represented by 'c', each adult bike is represented by 'a'.
This is about time so..

4c = building time of child bike
6a = building time of adult bike
120 = total building time allowed

4c + 6a = 120


4c = testing time of child bike
4c = testing time of adult bike
100 = total testing time allowed

4c + 4a = 100


Now it asks for whether 10 child bikes and 12 adult bikes can be built in a week.
In order to test this, you have to make it fit BOTH equations. So we test them:

First equation: 4(10) + 6(12) <= 120?
Second equation: 4(10) + 6(10) <= 100?

I put <= because they can be lazy and produce less, but they can't produce more ofc.

Answer 7

So
First equation: 40 + 80 <= 120? <-- yes
Second equation: 40 + 60 <= 100? <-- yes

So then you look at your answer choices, and find the one that matches our 2 equations.

Answer 8

So C then :)

Answer 9

ye