Question

the following situation involves a rate of change that is constant. write a statement that describes how one variable changes with respect to the other, give the rate of change numerically (with units), and use the rate of change rule to answer any questions. snow accumulates during a storm at a constant rate of 2.7 inches per hour. how much snow accumulates in the first 6.2 hours? in the first 8.2 hours? which statement describes this situation? a. the snow accumulated varies with respect to time with a rate of change of 2.7 in/h. b. time varies with respect to the snow accumulated with a rate of change of 2.7 h/in. c. the snow accumulated varies with respect to time with a rate of change of 2.7 h/in. d. time varies with respect to the snow accumulated with a rate of change of 2.7 in/h.

Explanation:

We analyze the relationship between snow accumulation and time. Snow accumulates over time, so the snow accumulated (dependent variable) varies with respect to time (independent variable). The rate is 2.7 inches per hour (in/h). Option A has a typo, Option C has a rate unit error (h/in is wrong), Option D misstates the relationship (time doesn't vary with snow in this rate context). Option A (corrected in logic, assuming the typo is a display error) or re - evaluating, actually Option A's text (if we ignore the possible typo in the option's display) and the correct logic: the snow accumulated varies with time at 2.7 in/h. Wait, looking at the options again, Option A: "The snow accumulated varies with respect to time with a rate of change of 2.7 in/h." (assuming the first part's typo is a mistake in the option's writing, maybe a duplicate or misprint). So the correct statement is that snow accumulated (amount of snow) changes with time, rate is 2.7 inches per hour. So Option A (if we take the text as intended, maybe the first "The snow accumulated" was a duplicate) or re - checking, the correct option is A (assuming the option's text has a minor display error, and the rate unit is correct as in/h).

Answer:

A. The snow accumulated varies with respect to time with a rate of change of 2.7 in/h.