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Hey guys, I need help with this word problem. I don't just want the answer. I would like the steps please!

The average annual cinema admission price y​ (in dollars) from 2003 through 2012 is given by y=0.28x+5.92. In this​ equation, x represents the number of years after 2003.
a. Complete the table.
x: 2, 5, 8
y:
b. Find the year in which the average cinema admission price was approximately ​$7.88. ​(Hint:Find x when y=7.88 and round to the nearest whole​ number.)
c. Use the given equation to predict when the cinema admission price might be ​$10.04. ​(Use the hint for part​ b.)

Respuesta :

Sceney
So, you take the equation for y given, y=0.28x+5.92. Then you substitute the values for x in, like so: 
y=0.28(2)+5.92=6.42
y=0.28(5)+5.92=7.17
y=0.28(8)+5.92=7.92
So There's your table. Next:
7.88=0.28x+5.92
x=7, so the year when admission was approximately $7.88 is year 7. 
Next, 
10.04=0.28x+5.92
x=14.7142857143, which rounds to year 15. 
I hope this helps!

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