1. It takes you 2 hours to travel 110 miles. How far can you travel in 5 hours?
2 answers:
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<h3>Answer: 6</h3>
Mark the locations -6 and 0 on the number line. Note that going from -6 to 0, or vice versa, will take exactly 6 steps. Put another way, the distance between 0 and -6 is 6 units. Absolute value represents distance, so it is never negative.
We say
Effectively, all we're doing is removing the negative sign.
The average rate of change is also known as the slope. If we are looking to find the average rate of change between x = -1 and x = 2, in order to find the slope between those 2 x values, we need the y's that go along with them. Fill in -1 for x in the function and solve for y: . That means that the coordinate is (-1, 0). Fill in 2 for x in the function and solve for y:
. The coordinate there is (2, -3). Now we can set up the slope formula to find the average rate of change between those 2 points:
. Therefore, the average rate of change between x = -1 and x = 2 is -1