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the table below shows the yearly sales of a cd player in a store

year          1         2          3          4         5        6

sales       55       100      145      190     235    280

 

find an equation in function notation for the relation

 Oct 22, 2017

Best Answer 

 #1
avatar+7352 
+1

Notice how each year, the sales go up by  45 .

 

year 1 sales  =  55

year 2 sales  =  55 + 45

year 3 sales  =  55 + 45 + 45

year 4 sales  =  55 + 45 + 45 + 45

year 5 sales  =  55 + 45 * 4

 

year " x " sales  =  55 + 45 * (x - 1)

 

f(x)  =  55 + 45(x - 1)   where  x  is the year and  f(x)  is the sales. We can simplify the right side.

 

f(x)  =  55 + 45x - 45

 

f(x)  =  10 + 45x

 Oct 22, 2017
edited by hectictar  Oct 22, 2017
 #1
avatar+7352 
+1
Best Answer

Notice how each year, the sales go up by  45 .

 

year 1 sales  =  55

year 2 sales  =  55 + 45

year 3 sales  =  55 + 45 + 45

year 4 sales  =  55 + 45 + 45 + 45

year 5 sales  =  55 + 45 * 4

 

year " x " sales  =  55 + 45 * (x - 1)

 

f(x)  =  55 + 45(x - 1)   where  x  is the year and  f(x)  is the sales. We can simplify the right side.

 

f(x)  =  55 + 45x - 45

 

f(x)  =  10 + 45x

hectictar Oct 22, 2017
edited by hectictar  Oct 22, 2017
 #2
avatar
+1

thank you did you mean f(x)=100+45x

 Oct 22, 2017
 #3
avatar+7352 
+1

No..if it was  f(x) = 100 + 45x , then for year 1 the sales would be  f(1) = 100 + 45(1) = 145

 

But for year 1, the sales are  10 + 45(1)  =  55, which agrees with the table. smiley

hectictar  Oct 22, 2017

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