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Sagot :
Answer
Constant of proportionality = 165 board games per hour
Explanation
If the number of board games the company makes is y
And the number of hours it takes is x
If y varies directly as x, this can be written as
y ∝ x
Introducing the constant of proportionality, k, we have
y ∝ x
y = kx
We can then solve for k knowing that
when y = 660, x = 4 hours
OR when y = 1320, x = 8 hours
y = kx
660 = (k) (4)
660 = 4k
Divide both sides by 4
(660/4) = (4k/4)
165 = k
k = 165 board games per hour
Using the other conditions
y = kx
1320 = (k) (8)
1320 = 8k
Divide both sides by 8
(1320/8) = (8k/8)
165 = k
k = 165 board games per hour
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