Write an equation that gives the proportional relationship of the graph.
2 answers:
The required equation is:
Option C is correct.
Step-by-step explanation:
The proportional relationship can be found using the equation:
where x and y are the points and k is the constant of proportionality.
We need to find k.
From the graph given, we can locate points x and y:
x=5, y= 35 then k would be:
x=10, y=70 then k would be:
For each values of x and y, the constant of proportionality k is 7
So, the required equation is:
Option C is correct.
Keywords: Proportional Relationship
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Susannah's data are illustration of measure of central tendencies
<u>(a) The mean</u>
To calculate the mean, she needs to divide the total number of turkey sandwiches sold, by the number of days.
The total is:
The number of days is:
So, the mean is:
Hence, the mean number of turkey sandwiches sold is 99.4
<u>(b) The median</u>
To calculate the median, she needs to arrange the data in ascending or descending order, then select the middle item.
In ascending order, we have: 73, 85, 88, 88, 99, 129, 134
The middle item is 88
So:
Hence, the median number of turkey sandwiches sold is 88
<u>(c) The mode</u>
This is the data that occurs most.
From the dataset, 88 appears twice (more than others).
So:
Hence, the mode number of turkey sandwiches sold is 88
<u>(d) The range</u>
This is the difference between the highest and least data
From the dataset,
The highest is 134, and the least is 73
So:
Hence, the range of turkey sandwiches sold is 61
The measure that would be most helpful is the median, because it is not affected by outliers.
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