To solve this problem, we can begin by analyzing the graph and then eliminating incorrect answers. By looking at the graph, we can see that it has a positive correlation (the graph is increasing from left to right), which tells us that it has a positive slope. Using this knowledge, we can eliminate answer choices C and D, which both suggest equations with a negative slope (which would mean that the line was decreasing from left to right).
Next, we must analyze the slope. Answer A suggests that the slope is 3/2, meaning that the line rises 3 units for every 2 units it goes across. Answer B suggests that the slope is 1/2, meaning that the line rises 1 unit for every 2 units that it goes across. If we look at the graph, let's say at the point (0,3), the next closest point is 3 units up and 2 units across, which lets us know that the slope is positive 3/2.
Therefore, your answer is A. y = 3/2x + 3 (which is confirmed by the point we recognized, (0,3), which is the y-intercept of the equation).
Hope this helps!
Answer:
0.50 or 0.500
Step-by-step explanation:
You can add a number of 0's after the 5 and the number will still stay the same.
Height of the water increasing is at rate of 
<h3>How to solve?</h3>
With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:
There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:
Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:
In the problem, we are given 
So we need to substitute this in:
Hence, Height of the water increasing is at rate of
<h3>Formula used: </h3>
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Given two points (x₁,y₁) and (x₂,y₂) the midpoint would be:
M=((x₁+x₂)/2 , (y₁+y₂)/2)
In this case, the points would be: (-8,-7) and (-7,-8); therefore:
M=((-8-7)/2 , (-7-8)/2)=(-15/2,-15/2)
Answer: C.) (-15/2 , -15,2)
Average= f(2)−f(0)/2−0
=62.5−250/ 2-0
<span>= −93.75</span>
