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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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A theater group made appearances into cities the hotel charge before tax and the second city was 1500 higher than the first the
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Answer:

The hotel charge in each city before tax was <u>$5125</u> of the first city and <u>$3625</u> of the second city.

Step-by-step explanation:

Given:

A theater group made appearances into cities the hotel charge before tax and the second city was 1500 higher than the first.

The tax of the first city was 6% and the tax of the second city was 10%.

Total hotel tax paid for two cities with $670.

Now, to find the hotel charge in each city before tax.

Let the hotel charge in first city before tax be x.

And the hotel charge in second city before tax be y.

<em>So, as the hotel charge of the second city was 1500 higher than the first.</em>

<em>Thus</em>,

y=x-1500   ........(1)

<em>And as given, the tax of the first city was 6% and the tax of the second city was 10%, total hotel tax paid for two cities with $670.</em>

6% of x + 10% of y = $670.

\frac{6x}{100} +\frac{10y}{100} =670

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0.06x+0.10(x-1500)=670

0.06x+0.10x-150=670

0.16x-150=670

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0.16x=820

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<em>The hotel charge in first city before tax = $5125.</em>

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y=x-1500

y=5125-1500

y=3625.

<em>The hotel charge in second city before tax = $3625.</em>

Therefore, the hotel charge in each city before tax was $5125 of the first city and $3625 of the second city.

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