Question

The shed is filled with sawdust whose density (kg/m3) at any point is proportional to the distance of that point from the floor. Write a formula for the density, d, as a function of x, the distance from the floor in meters. Use lower case k as the proportionality constant.

Answer 1

It is important to note that when we say proportional, the increase in the value of the independent variable (in this case, distance x) will also increase the value of the dependent variable (density, d). Using k as the proportionality constant, the answer to this question would then be,
                                        d = kx