Question

Take the real-life situation and create an equation or inequality that could be used for analysis, prediction, or decision making. Then, draw a graph to depict the variables in your situation. Use your graph and what you know about linear inequalities to discuss the significance of your findings.

My answer:

In 2005, the amount of registered births in NYC was 560. Each year, the number of births increases by 420. When will this amount increase to 5000?

How would I put this into a linear equation and graph. Any help would be appreciated.

Please check your figures. I can't believe that only 560 births were registered in NYC in 2005. It also doesn't make sense that they almost double each year(420).



you said
births = 420*years + 560

wow, looks like you just formed your linear equation.

for your second question, when will there be 5000 birtsh?

5000 = 420*years + 560

I am pretty sure you can solve this for "years", your answer will be the number of years since 2005 of course.

Could I graph that?

sure you could.
As Ms. Sue said, your data does not make a lot of sense, but nevertheless you can graph it.
let t=0years, births =560 ---> (0,560)
let t=5 years, births=2660 --> (5,2660)

you got 2 points, it is a straight line, so.....