Interpreting a slope as a rate of change [1.4] When interpreting a slope, it is much easier to recognize the correct interpretation from a multiple-choice question, than it is to give one. On tests, you will be asked to write it yourself. A correct answer to this instruction should use the relevant numbers (slope) with the correct units in a short sentence that explains the meaning. A correct answer will state something similar to "[y] is [increasing or decreasing] at a rate of [lm/y units] per [x units]", filling in the blanks according to each situation presented in the problem. Refer to your textbook and online homework for examples. 3A. The distance (in miles) from a train to the next station is given by the formula
d(x)=130-22x
, where
x
is hours. Find and interpret the slope. Slope: Interpros. 3B. Find the slope of this graph and interpret the result. (Be sure to use two exact points that may be several points away from each other and pay attention to the scale and do not guesstimate!) Slope: Interpret: