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1 answer:
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Answer:
A)
Step-by-step explanation:
Given:
A graph of a function.
When we analyze the given graph, it is of a <em>parabola</em>.
To find:
The interval of values of where the function is increasing.
Solution:
First of all, let us learn about the meaning of increasing and decreasing functions.
1. A function is known as increasing in an interval
when
Value of y keeps on increasing when we move from the value of x from a to b.
2. A function is known as decreasing in an interval
when
Value of y keeps on decreasing when we move from the value of x from a to b.
On analyzing the given graph , we can see that the graph is decreasing on the interval:
and is increasing on the interval:
When we choose from the options,
The correct answer is option A)
<u>Given</u>:
The distance (in kilometers) Dora hiked is modeled as a function of time.
We need to determine the average rate of change in distance hiked, measured in kilometers per hour, between 8:30 am to 1:30 pm.
<u>Average rate of change:</u>
Let us write the time and the distance hiked in coordinates for the time 8:30 am and 1:30 pm.
Thus, the coordinates are (8.30, 4) and (1,12)
The average rate of change can be determined using the formula,
Substituting the points (8.30, 4) and (1.30,12), we get;
Rounding off to the nearest whole number, we get;
Therefore, the average rate of change is -1.