Question

On some tubes of caulking, the diameter of the circular nozzle opening can be adjusted to produce lines of varying thickness. The table shows the length (L) of caulking obtained from a tube when the nozzle opening has diameter (d) and cross-sectional area (A).

31) Does L vary inversely with d? Explain. d (in.) A (in.2) L (in.)
.125 0.012 1440
.25 0.049 360
.375 0.110 160
32) Does L vary inversely with A? Explain. .5 0.196 90

Answer 1

If L varies inversely with d the product must be constant.
.125*1440=.25*360=.375*160 These are not the same so L and d do not vary inversely
If L and A vary inversely their products must be the same
.012*1440=.049*360=.110*160 These products are 17.28, 17.64, and 17.6 they are not the same but they are close if the answers were rounded in the table they could be inversely related. If the numbers in the table are exact they are not inversely related