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morpeh [17]
3 years ago
13

Determining Proportionality

Mathematics
2 answers:
fenix001 [56]3 years ago
6 0

Answer:

earnings = $125 + ($50/vacuum)x

Step-by-step explanation:

This problem is best described by a linear equation whose slope is $50/vacuum and whose y-intercept is $125:

The equation represents the man's total earnings.  The independent variable is x, the number of vacuums he sells.

Thus, earnings = $125 + ($50/vacuum)x.  As before, the y-intercept is $125 and the slope of the line is ($50/vacuum).

Plot a black dot at (0, $125).  Now move 2 units to the right from this dot and from there up by $100 to (2, $225).  Plot this new point.  Then draw a line through the two points you've plotted.

Table:

 x   earnings

----  --------------

 0      $125

  1       $125 + $50 = $175

  2      $125 + $100 = $225

and so on.

SVEN [57.7K]3 years ago
3 0
…………..Y=125+ 50x…………
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Which table of ordered pairs represents a linear function? x y −8 22 0 1 8 22 16 102 x y −8 −7 0 1 8 9 8 2 x y −8 −7 0 0 8 7 16
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The linear function is a function that has a straight line when plotted on a

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<h3>The correct option;</h3>
  • The table of ordered pairs that represent a linear function is the option; <u>x/y  -8/-7  0/0  8/7  16/14</u>

<u />

<h3>Reasons why the above selection is correct:</h3><h3 /><h3>Given;</h3>

The given data can be presented as follows;

x/y -8/22 0/1 8/22 16/102

x/y -8/-7 0/1 8/9 8/2

x/y -8/-7 0/0 8/7 16/14

x/y -8/-7 0/1 8/5 16/4

<h3>Representation of the options in tabular form;</h3>

In a tabular form, we have;

\begin{tabular}{|c|c|}x&y\\-8&22\\0&1\\8&22\\16&102\end{array}\right]  \begin{tabular}{|c|c|}x&y\\-8&-7\\0&1\\8&9\\8&2\end{array}\right]  \begin{tabular}{|c|c|}x&y\\-8&-7\\0&0\\8&7\\16&14\end{array}\right]  \begin{tabular}{|c|c|}x&y\\-8&-7\\0&1\\8&5\\16&4\end{array}\right]

<h3>Characteristic of linear function;</h3>

In a linear function, when the x-values have a constant rate of increase the

first difference in the y-values is constant.

<h3>Selection of the table representing a linear function;</h3>

The option that have constant first difference along with a constant rate of

increase in the x-value is the option with the following table;

\begin{tabular}{|c|c|}x&y\\-8&-7\\0&0\\8&7\\16&14\end{array}\right], which is the option x/y -8/-7 0/0 8/7 16/14

Learn more about linear functions here:

brainly.com/question/1492480

brainly.com/question/8046269

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