Pabalo is training for a race. His goal is to run 8.5 miles over the next 3 days. This distances he ran each day are shown in th
e table.
2 answers:
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<h3><u>Explanation</u></h3>
- Slope-Intercept form
- Calculate the slope with two given coordinate by using rise over run.
These two coordinate points are part of the graph and can be used to find the slope.
Substitute the coordinate points in the formula.
Therefore, the slope is 2.
Rewrite the equation in slope-intercept.
- Calculate the y-intercept by substituting any given points in new rewritten equation.
I will be substituting these coordinate points in the equation.
Substitute x = 0 and y = 5 in the equation.
Therefore the y-intercept is (0,2).
Rewrite the equation.
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Answer:
Explanation:
1) Charges are:
Flat fee: 500
First 100 tickets: 20(100) = 2000
Tickets over 100: 17 ( x - 100), where x is the number of tickets.
2) Total charges: 500 + 2000 + 17(x - 100) = 2500 + 17(x - 100)
3) Average cost per ticket = total charges / number of tickets
⇒ [2500 + 17(x - 100) ] / x
4) limit as the number of tickets, x, becomes very high ⇒ x → ∞
⇒
5) Here is the demostration of the value of that limit:
2500 / x + 17x / x - 1700/x = 0 + 17 + 0 = 17
Explanation:
1) Charges are:
Flat fee: 500
First 100 tickets: 20(100) = 2000
Tickets over 100: 17 ( x - 100), where x is the number of tickets.
2) Total charges: 500 + 2000 + 17(x - 100) = 2500 + 17(x - 100)
3) Average cost per ticket = total charges / number of tickets
⇒ [2500 + 17(x - 100) ] / x
4) limit as the number of tickets, x, becomes very high ⇒ x → ∞
⇒
5) Here is the demostration of the value of that limit:
2500 / x + 17x / x - 1700/x = 0 + 17 + 0 = 17
option (B) is correct the graph second represents the line that is perpendicular to the line y = 4x - 2
<h3>What is a straight line?</h3>A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
The question is incomplete:
The complete question is:
Consider the equation y = 4x - 2 Which graph shows a line that is perpendicular to the line defined by the given equation?
Please refer to the attached picture.
The given line:
y = 4x - 2
The slope of the line M = 4
The slope of the line which is perpendicular to the above line:
m = -1/4 = -0.25
The graph second has a slope of -0.25
y - 2 = -0.25x - 1
y = -0.25x + 1
m = -0.25
Thus, the graph second represents the line that is perpendicular to the line y = 4x - 2 option (B) is correct.
Learn more about the straight line here:
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