Question

Select the correct answer. 2 Nina can stitch 2/3 of a dress in 4 hours. If d represents the number of dresses and h represents the number of hours, which equation represents this proportional relationship? A. d=6h B. 3d= 4h C. d=1/6h D. d=4h E. 1/6d=12h no links pls only answer if you know. will give brainliest IF correct.​

Answer 1

Answer:  $d = \frac{1}{6}h$ which is choice C

Explanation:

She can stitch 2/3 of a dress in 4 hours. Multiply both of those values by 3 to find that she can stitch 2 dresses in 12 hours. Cutting those two new values in half leads to Nina able to stitch 1 dress every 6 hours.

If h is the number of hours, and d is the number of dresses, then the "1 dress every 6 hours" can be represented by the equation h = 6d. Isolating d leads to the equation $d = \frac{1}{6}h$ which is the same as writing d = (1/6)h.

Side note: We can rule out d = 6h because h = 1 leads to d = 6, when it should be the other way around.