Mathematics, 24.08.2020 23:01 pinklover2002

The chart shows the cost of tuition at a certain state university. Model the data in the chart with a linear function, using the points (1,9941) and (3,11242). Predict the cost of college tuition in 2007-2008. What is the linear model for the data?
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The chart shows the cost of tuition at a certain state university. Model the data in the chart with

Answers: 3

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Answer from: kayolaaaa53

The linear model for the data is y = 650.5x + 9290.5 and The cost of college tuition in 2007-2008 is $15795.5

Linear equation

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the cost of tuition of battery after x years.

From the table using the points (1, 9941) and (3, 11242):

$y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\
\\
y-9941=\frac{11242-9941}{3-1}(x-1)\\
 \\
y=650.5x+9290.5$

The linear model for the data is y = 650.5x + 9290.5

At 2007-2008 (x = 10:

y = 650.5(10) + 9290.5 = 15795.5

The cost of college tuition in 2007-2008 is $15795.5

Find out more on linear equation at: link

Answer from: fatherbamboo

The cost in 2007 - 2008 = $15,795.5

The linear model for the data is y = $650.5·x + $9290.5

Step-by-step explanation:

The given data can be presented as follows;

College year, x, Estimated tuition, y

1997-1998, 0, $9412

1998-1999, 1, $9941

1999-2000, 2, $10561

2000-2001, 3, $11242

2001-2002, 4, $11965

2002-2003, 5,

2003-2004, 6,

2004-2005, 7,

2005-2006, 8,

2006-2007, 9,

2007-2008, 10,

With points (1, 9941) and (3, 11242), we have the slope given by the equation;

$m = \dfrac{y_2 - y_1}{x_2 - x_1}$

Which gives;

$m = \dfrac{11242 - 9941}{3 - 1}= 650.5$

Therefore;

y - 11242 = 650.5 × (x - 3)

y= 650.5·x - 650.5 ×3 + 11242

y = 650.5·x + 9290.5

Therefore from the above table at 2007 - 2008, the value of x should be 10, we therefore have;

y = 650.5×10 + 9290.5 = $15,795.5

The cost (estimated tuition) in 2007 - 2008 = $15,795.5

The linear model for the data is y = 650.5·x + 9290.5.

Answer from: Quest

3,000,540

step-by-step explanation:

Answer from: Quest

the answer

b. they are parallel and will never intersect.

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