word problem more clearly

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jonesbetty

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The table lists data regarding the average salaries of several professional athletes in the years 1991 and 2001. Year 1991 the average salary was $264,000 and in the year 2001 the average salary was $1,430,000.
a) use the data points to find a linear function that fits the data
b) use the function to predict the average salary in 2005 and 2010.

let x= the number of years since 1990, and let S= the average salary x years from 1990
 
Hello, jonesbetty!

The table lists data regarding the average salaries of several professional athletes in the years 1991 and 2001.
Year 1991 the average salary was $264,000 and in the year 2001 the average salary was $1,430,000.

a) Use the data points to find a linear function that fits the data
b) Use the function to predict the average salary in 2005 and 2010.

Let \(\displaystyle x\) = the number of years since 1990,
and let \(\displaystyle S\) = the average salary \(\displaystyle x\) years from 1990.
Click to expand...

Surely, you know how to do this . . .

You are given two points: .\(\displaystyle (x,S) \:=\:(0,\,264\;\!000),\:(10,\,1\;\!430\;\!000)\)

Find the equation of the line through the two points.
 
math problems more clearly

I am barely surviving this math. My child failed it the first time around and I am trying to learn it again to help her
word problems are really hard for me
i can' seem to see how to set the problem up
if i could work this problem i would not have posted it
someone please help
being 65 i seem to take longer to learn
 
word problems more clearly

I know the formula just cant figure out which numbers goes where
 
Hello, jonesbetty!

Okay, a quick review.
I hope you're a quick study . . .

The table lists the average salaries of several professional athletes in the years 1991 and 2001.
Year 1991 the average salary was $264,000 and in the year 2001 the average salary was $1,430,000.

(a) Use the data points to find a linear function that fits the data.

(b) Use the function to predict the average salary in 2005 and 2010.

Let \(\displaystyle x\) = the number of years since 1990, and let \(\displaystyle S\) = the average salary \(\displaystyle x\) years from 1990.
Click to expand...

When \(\displaystyle x = 1:\;\;\;S = \;\;264,\!000\)
When \(\displaystyle x = 11:\;S = 1,\!430,\!000\)

We have two points: .\(\displaystyle (1,\:264,\!000)\,\text{ and }\,(11,\:1,\!430,\!000)\)

To write the equation of a line through two points,
. . we need a point (and we have two points),
. . and we need the slope of the line.


The slope \(\displaystyle m\) of the line through \(\displaystyle (x_1,\,y_1)\) and \(\displaystyle (x_2,\,y_2)\)
. . is given by: .\(\displaystyle m \;=\;\dfrac{y_2-y_1}{x_2-x_1}\)

We have: .\(\displaystyle m \;=\;\dfrac{1,\!430,\!000-264,\!000}{11-1} \:=\:\dfrac{1,\!166,\!000}{10} \quad\Rightarrow\quad m \:=\:116,\!600\)


The equation of the line through \(\displaystyle (x_1,\,y_1)\) with slope \(\displaystyle m\)
. . is given by: .\(\displaystyle y - y_1 \;=\;m(x-x_1) \)


Our line is through \(\displaystyle (1,\,264,\!000)\) and has slope \(\displaystyle m = 116,\!600\)

We have: .\(\displaystyle y - 264,\!000 \;=\;16,\!600(x-1)\)

Therefore: .\(\displaystyle y \;=\;116,\!600x + 147,\!400\;\;{\bf(a)}\)


In 2005, .\(\displaystyle x = 5:\;\;y \;=\;116,\!600(5) + 147,\!400 \;=\;730,\!400\)

In 2010, \(\displaystyle x = 10:\;\;y \;=\;116,\!600(10) + 147,\!400 \;=\;1,\!313,\!400\;\;{\bf(b)}\)
 
word problems more clearly

thank you so much
i have a few more and this breakdown will help me figure them out
 
word problems more clearly

can you tell me where you got 1,470,400 or should it be 2,470,400
 
I think she meant 147,400. It somes form the simplification of \(\displaystyle y-264,000=16,600(x-1)\)

\(\displaystyle y-264,000=16,600(x-1)\)

\(\displaystyle y-264,000=16,600x-16,600\)

\(\displaystyle y=16,600x-16,600+264,000\)

\(\displaystyle y=16,600x+147,400\)

Hope that helps!
 
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