Peter uses the equation mc015-1.jpg to model the number of miles that he has walked in x hours. Which statement is true about the proportional relationship that is modeled by Peter’s equation?
None of the above
To determine which statement is true about the proportional relationship modeled by Peter's equation, let's first review the equation:
mc015-1.jpg
In this equation, m represents the constant of proportionality.
Now, let's look at the options:
a) If Peter walks for 1 hour, he will have walked m miles.
b) If Peter walks for 1 hour, he will have walked x miles.
c) When Peter walks for 0 hours, he will not have walked any miles.
d) Peter will walk the same number of miles for each hour.
To find the correct statement, we need to analyze the given equation:
mc015-1.jpg
This equation indicates that the number of miles Peter walks is directly proportional to the number of hours he walks. This means that as the number of hours (x) increases, the number of miles will also increase, and vice versa.
From this understanding, we can conclude that the correct statement is:
d) Peter will walk the same number of miles for each hour.
This is true for proportional relationships because the ratio of miles to hours remains constant.