the time (y) that it takes a machine to produce a batch of items is directly proportional to the number of items in the batch (x ).If it takes 17 minutes to produce 5 items,Which equation models this situation?
2 answers:
ANSWER
A. y=3.4x
EXPLANATION
It was given that, the time (y) is directly proportional to the number of items (x).
We can write this mathematically as:
If we introduce the constant of proportionality, we obtain;
If y=17 and x=5, then,
Hence the equation that models the situation is;
Answer: Option A
Step-by-step explanation:
A direct proportion equation has the form:
Where "k" is the constant of proportionality.
Knowing that it takes 17 minutes to produce 5 items, you can find k by substituting 17 minutes and 5 items into the equation and solving for k:
Now, susbtitute k into to find the equation that models this situation:
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