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.

you run along a path at a constant speed of 4.6 miles per hour. how far do you travel in 1.7 hours? in 3.9 hours?

which statement describes this situation?

a. time varies with respect to distance traveled with a rate of change of 4.6 mi/h.
b. the distance traveled varies with respect to time with a rate of change of 4.6 mi/h.
c. time varies with respect to distance traveled with a rate of change of 4.6 h/mi.
d. the distance traveled varies with respect to time with a rate of change of 4.6 h/mi.

Explanation:

Identify variables and rate of change

Using the Rate of Change Interpretation knowledge point

$$
LATEXBLOCK0
$$

Formulate the rate of change rule

Using the Rate of Change Rule knowledge point

$$
LATEXBLOCK1
$$

Select the matching statement

Using the Rate of Change Interpretation knowledge point

$$
LATEXBLOCK2
$$

Answer:

• A. Time varies with respect to distance traveled with a rate of change of 4.6 mi/h.
• B. The distance traveled varies with respect to time with a rate of change of 4.6 mi/h. (Correct answer)
• C. Time varies with respect to distance traveled with a rate of change of 4.6 h/mi.
• D. The distance traveled varies with respect to time with a rate of change of 4.6 h/mi.