Solve for x: −3x + 3 < 6 x > −1 x < −1 x < −3 x > −3
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The annual number of cases can be modeled using a quadratic equation y = 14x2 – 9x + 1. the variable x represents the number of years after 2008. the variable y represents the number of pertussis cases in year x. according to the equation, in what year can the county be expected to have 2,619 cases of pertussis?
Given:
Eighteen 2.5 gallon buckets are needed to fill a cistern with water.
To find:
The constant of variation.
Solution:
If y is directly proportional to x, then
Where, k is constant of variation.
In the given problem, water in cistern (w) is directly proportional to number of buckets (n).
(Capacity of each bucket is 2.5 gallons)
Therefore, the constant of variation is 2.5.