Indicate functions that are directly proportional y = 0.3 y = -8x ^ 3 y = x / 4 y = 7 / x
August 12, 2021 | education
| Let’s consider each function and find the directly proportional one.
Before that, we write down the general formula of a directly proportional function: y = k * x, where x is an independent argument, y is a function, and k is some constant coefficient.
1) y = 0.3, here y does not depend on the argument x, but is equal to the constant 0.3;
2) y = -8x ^ 3, this is a cubic dependence, not directly proportional;
3) y = x / 4 = (1/4) * x, here the dependence is directly proportional, where k = 1/4, and with an increase (decrease) x y also increases (decreases);
4) y = 7 / x, here the inverse dependence of y on x, since x is in the denominator.
Answer: 3) y = x / 4.
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