The length “l” (in millimeters) of an antelopes bone can be modeled by the equation: l=24.1d^2/3
where d is the diameter (in millimeters) of the nail. What is the diameter of an antelope bone that is 179.57 millimeters long?
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By the way you wrote the problem, it is ambiguous, meaning it can be interpreted in more than one way. I'll make an assumption about what was meant. I am going to assume that the formula can be written like this:
24.1d2
L = ______
3
L: length of antelope bone (mm) [I don't like to use lowercase L, since it likes a 1.]
d: diameter of antelope bone (mm)
We are give that: d = 179.57
Thus, we substitute that value of d into the formula everywhere that we see a d, which is only in one place.
24.1(179.57)2
L = ___________
3
Simplify the left side of the equation, and you will have the length of the antelope bone in millimeters.
