Inverse proportionality
Types of exercises: inverse proportionality, the function f(x) = a/x - the coefficient a, a value and an argument, inversely proportional quantities in applications.
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Find f(−1)
The graph of the function f(x) = a/x, where x ≠ 0, passes through the point (−5, −2).
Compute the value of the function
f(x) = −39 : x, f(−2) = ?
Give the number of days
8 workers do a certain job in 12 days. How many days will 6 workers need to do this job if each of them works at the same rate?
Find f(2)
The graph of the function f(x) = a/x, where x ≠ 0, passes through the point (−5, 6).
Compute the value of the function
f(x) = −20 : x, f(11) = ?
Give the number of hours
3 identical pumps empty a swimming pool in 8 hours. How many hours will it take 8 such pumps to empty this pool?
For which argument does the function f take the value 10?
The function f is given by the formula f(x) = 60/x for x ≠ 0.
Compute the value of the function
f(x) = 54 : x, f(2) = ?
Give the number of days
4 identical excavators dig a pit in 30 days. How many days will it take 6 such excavators to dig this pit?
For which argument does the function f take the value −9?
The function f is given by the formula f(x) = −27/x for x ≠ 0.
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