The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
The <em><u>correct answer</u></em> is:
The faster rate is when she hiked down 200 feet in 10 minutes.
Explanation:
The rate of change is given by the change in y over the change in x; in this case, the change in elevation over the change in time.
For the first part of the hike, the change in elevation was -200 and the change in time was 10; this gives us a rate of change of -200/10 = -20.
For the second part of the hike, the change in elevation was -300 and the change in time was 20; this gives us a rate of change of -300/20 = -15.
She hiked downhill faster during the first part of the hike, at 20 feet per minute.
In order to evaluate the given function at x = -3, simply replace "x" in the function with -3 and solve.
<em>Multiply -4 and -3 in the function above.</em>
<em>Add 3 on both sides of the equation.</em>
<em>Add 2y on both sides of the equation.</em>
<em>Divide both sides of the equation by -3.</em>
Therefore, at x = -3, the value of y = -5. Hence, f(-3) = -5.
Answer:
f(-3) = -5
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