I think they all went to the movies equally per month if you simply compare medians? Since in the second chart, they each have a median of 2 times per month, that makes it equal. If you aren’t sure if this is correct, you have to order how many times each person went to the movies, from least to greatest. For example, John’s would be 1,1,1,2,2,2,2,3,3,3,4,5. Then you would start crossing numbers off from each end. First you would cross off 1, then 5, and then 1, and then 4, and keep going until you reach the number in the very middle, which is 2. Do this with all of the other people, and check if everybody has 2 for a median. I believe they do, however it’s always best to check and be safe. Good luck
The increase is D: 50% because the 1 in the parentheses stands for the 20 that was already there, with the .5 being the amount that’s actually being increased. 0.5 translates to 50%, so the answer is D.
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The piece-wise linear functions can be written as follows:
.
.
.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For x equal or less than -2, the line passes through (-3,-3) and (-2,-2), hence the rule is:
.
For x greater than -2 up to 1, the y-intercept is of -7, and the line also passes through (1,-8), hence the rule is:
.
For x greater than 1, the function goes through (2,-5) and (3,-3), hence the slope is:
m = (-3 - (-5))(3 - 2) = 2.
The rule is:
y = 2x + b.
When x = 2, y = -5, hence:
-5 = 2(2) + b
b = -9.
Hence:
.
More can be learned about linear functions at brainly.com/question/24808124
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