<h2>Hello There, today we will be solving your problem</h2>

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Let's solve this equation using simple algebra,
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Definitions </h2>
Algebra<em> - Algebra is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all mathematics</em>
Division <em>- Division, otherwise known as the inverse of multiplication separates a certain number into what it has been divided by.</em>
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Now that we understand the definition we can further solve this equation

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Now we will add to solve this equation


-Use simple division

This is repeating*

The answer is
repeating
<h2>Have a good day!</h2>
Answer to the 1st question: 8 years
Answer to the 2nd question: The year 2022
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Further explanation:
x = number of years after 2008
y = average price of a new car
The prices are going up by $1250 per year on average. This is the slope because the slope is the rate of change. So m = 1250.
The y intercept is b = 30100 as this is the price in 2008.
This leads us to go from y = mx+b to y = 1250x+30100
Plug in x = 0 and you should get y = 30100.
Also, plugging x = 6 into the equation leads to y = 37600 to help confirm things.
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Next, we plug in y = 47600 and solve for x.
y = 1250x+30100
47600 = 1250x+30100
47600-30100 = 1250x
17500 = 1250x
1250x = 17500
x = 17500/1250
x = 14
This means 14 years after the year 2008 is when the average new car price will be $47,600.
2008+14 = 2022
2022-2014 = 8
Therefore, <u>8 years</u> after 2014 (aka the <u>the year 2022</u>) is when the new car average price will be $47,600.
B. because it is priced at a good price or Brand A if you only need the 1 gallon
The inequalities and the points are
- y + 2 ≤ 5x: (5, -2) and (10, 1)
- y + x > -4: (5, -2) and (10, 1)
- y ≤ 1/3x: (5, -2) and (10, 1))
<h3>How to graph the
system of inequalities?</h3>
The system of inequalities is given as:
y + 2 ≤ 5x
y + x > -4
y ≤ 1/3x
Next, we plot each inequality in the system of inequalities using a graphing calculator
See attachment for the graph of the system of inequalities y + 2 ≤ 5x, y + x > -4 and y ≤ 1/3x
From the attached graph, we have the following points:
y + 2 ≤ 5x: (5, -2) and (10, 1)
y + x > -4: (5, -2) and (10, 1)
y ≤ 1/3x: (5, -2) and (10, 1)
Read more about inequalities at:
brainly.com/question/24372553
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