A flight overbooked by 4 passengers as a integer
1 answer:
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Answer:
Step-by-step explanation:
Originally he needs 3/4 cups
If he is tripling it, he need 3 times 3/4.
You can see above since every number has a 1 under them you can write 3 as 3/1 if it make it easier dor you to understand.
Then, you multiply numerators and denominators with each other. 3 times 3 will give you 9 and 1 times 4 will give you 4.
So you got 9/4 whixh can also write as 2(times)1/4
Hope this is helps. Let me know if you have any questions.
Answer:
See the attached figure.
Step-by-step explanation:
Modeling each part as a function.
Let x is hours of the working day
The company packs 80 boxes of toys every hour for the first 3 hours of the day. ⇒ y₁ = 80 x , x ∈ [0,3]
At the end of the 3 hours The company packs = 80 * 3 = 240
They stop packaging for the next 2 hours in order to carry out a training session. ⇒ y₂ = 240 , x ∈ [3,5]
Then, for the next 4 hours, they pack 20 boxes of toys every hour
y₃ = 20x + c , x ∈ [5,9]
To find c, y₂ = y₃ at x =5
∴ 240 = 20 * 5 + c
∴ c = 240 - 20 * 5 =240 - 100 = 140
∴ y₃ = 20x + 140 , x ∈ [5,9]
So,
y₁ = 80 x , x ∈ [0,3]
y₂ = 240 , x ∈ [3,5]
y₃ = 20x + 140 , x ∈ [5,9]
The graph models the piecewise function for the given situation is as shown in the attached figure.
