The percentage of automobile cunsumers who are under 50 years of age degreased linerly from 55.9% in 1990 to 52.4% in 2005. Predeict when the percentage will be 48%?

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- anonymous

- schrodinger

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- Hero

Just use the slope formula to get the slope, then use the point slope formula to find the equation

- anonymous

So, \[52.4-55.9/105-90\]?

- Hero

yes, that's a good start.

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## More answers

- anonymous

Well somewhere I'm getting hung up...so i end up with -3.5/15. Then go \[55.9=-3.5/15(90)+b? \]

- anonymous

if this is right, that's where I'm stuck. I now have to predict when it will be 48%? Plug 48 into y?
Solve

- Hero

Wait a sec...

- anonymous

K :S

- Hero

Sorry, I thought you were using the point slope form. You decided to do this the other way...
What do you get for b?

- anonymous

Well originally 76.9

- Hero

That's correct

- Hero

So what is your y = mx + b formula now?

- anonymous

Should i plug the 48 in as y?

- Hero

yes

- anonymous

\[48=-3.5/15x+76.9\]
Solve for x

- Hero

yes,and what do you get for x?

- anonymous

-26.57?

- Hero

I get year 2023 and 10.2/12 months

- anonymous

Hmm...so first I -76.9 from both sides?

- Hero

so right around October of year 2023

- Hero

Yes correct

- anonymous

End up with -28.9 = -3.5/15x

- Hero

yes

- anonymous

Do I convert m to -2.33?

- Hero

wait a sec...

- Hero

You should just solve it without converting.

- anonymous

So did you get 433.5/3.5?

- anonymous

123.86

- anonymous

So in years 1900 + 123.6 = 2023.6?
That seems a lot close to what you had

- Hero

Close enough. Good job

- anonymous

Wow...what a pain. OK, well thank you for the time. That is a lot closer to a realistic answer. Just need to make sure I follow each step carefully. Thanks again.

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