I have to make a word problem with a real life situation that follows a linear equation i have to come up with the independent variables being years.Then i have to create an equation or inequality that could be used for analysis, prediction, or decision making.then, draw the graph to depict the variables in the situation that i came up with.

Question

I have to make a word problem with a real life situation that follows a linear equation i have to come up with the independent variables being years.Then i have to create an equation or inequality that could be used for analysis, prediction, or decision making.then, draw the graph to depict the variables in the situation that i came up with.

so my question is:
how do i do this as a word problem if i want to use population growth in a small town and having the population that goes into the target store there in that small town.

this is only my idea but i don't know how to word it.

Is population related to number of people in a target store? As population increases, more Targets stores open to handle it.

I suggest Births registered vs time.

how would i word it as a word problem? the suggestion you given me.
births registered vs.time

In 2006, the registered births in Podunk was 23222. Each year, the number of births inceases by 3500. When will be births be 43000?

so that means that the slope will tell me the increase of each year.
and the inequality would be
23222x + 3500(y-4300)<= 2006

Answer 1

Sure, here's how you can word the word problem based on your suggestion about the relationship between registered births and time:

"In the small town of Podunk, the number of registered births in 2006 was 23,222. Each year, the number of births increases by 3,500. We want to determine when the number of births will reach 43,000.

Let's define the variable x as the number of years since 2006, and y as the number of registered births. We can represent the relationship between x and y with the equation y = 3,500x + 23,222.

Using this equation, we can set up an inequality to determine when the number of births will be 43,000. The inequality will be 3,500x + 23,222 ≥ 43,000.

To solve this inequality, we need to isolate x. Subtracting 23,222 from both sides gives us 3,500x ≥ 19,778. Dividing both sides by 3,500, we find x ≥ 5.65.

Therefore, the number of births will exceed 43,000 after approximately 5.65 years since 2006. In other words, this will occur sometime in the year 2011."

I hope this helps! Let me know if you have any more questions.