Given:
The table of values for Fallon's earnings in terms of Donald's earnings.
To find:
The equation that best represents Fallon's earnings in terms of Donald's earnings.
Solution:
In the given table the x-values are increasing by 5 units and y values increasing by 5 units. It means the rate of change of y with respect to x is constant and the table represents a linear function.
If the graph of a linear function passes through two points, then the equation of linear function is
![y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%28x-x_1%29)
Consider any two points from the table. Let the two points are (38,45) and (43, 50). Then, the equation is
![y-45=\dfrac{50-45}{43-38}(x-38)](https://tex.z-dn.net/?f=y-45%3D%5Cdfrac%7B50-45%7D%7B43-38%7D%28x-38%29)
![y-45=\dfrac{5}{5}(x-38)](https://tex.z-dn.net/?f=y-45%3D%5Cdfrac%7B5%7D%7B5%7D%28x-38%29)
![y-45=1(x-38)](https://tex.z-dn.net/?f=y-45%3D1%28x-38%29)
![y-45=x-38](https://tex.z-dn.net/?f=y-45%3Dx-38)
Adding 45 on both sides, we get
![y=x-38+45](https://tex.z-dn.net/?f=y%3Dx-38%2B45)
![y=x+7](https://tex.z-dn.net/?f=y%3Dx%2B7)
Therefore, the correct option is A.
Answer:
Five times nine plus twenty
Step-by-step explanation:
Just remember the order of operations... multiplication and division are done first before adding and subtracting.
A. <span>isolating the x² term and finding the square root of both sides </span>
Answer:
![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
In this graph, when you count rise and run, rise would be 1 and run would be 2. Because slope is also known as rate of change and rate of change is also known as rise over run, the slope will be 1 over 2.
The true statements are
The mean is near the median.
The mean is the best measure of center.
The five-number summary is the best measure of variation
<h3>What is a histogram? </h3>
A histogram is used to represent data graphically. The histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval.
If the mean is greater than the median, the histogram would be skewed to the right. If the mean is less than the median, the histogram would be skewed to the left.
To learn more about histograms, please check: brainly.com/question/14473126
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