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A rule has a rate of change of 3 over 4. Starting from a plotted point, how do you step across to the next point on the line?
AAlong 3 and up 4 from the point
BAlong 3 and down 4 from the point
CAlong 4 and up 3 from the point
DAlong 4 and down 3 from the point
Answer & Solution
Correct answer: C. Along 4 and up 3 from the point
1. A rate of change written as one number over another is the rise over the run.
2. Here the rise is 3 and the run is 4.
3. So from any plotted point, move 4 across and then 3 up.
4. Option A swaps the two numbers, which would give a steeper line with a rate of 4 over 3.
5. The rate is positive, so the step goes up rather than down, ruling out option D.
_Source: OpenStax College Algebra (CC BY 4.0), Ch 4 "Linear Functions", section 4.1 Linear Functions_
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