Given a line with slope of 5 and y-intercept of -1, which of the ordered pairs given below would NOT be on the line?
1 answer:
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Answer:
114,400 and 118,976.
Step-by-step explanation:
Let's represent this using a function. Let's let:
represent the total population, and
represent the total number of years since last year.
We know that the population grows by 4% every year or 0.04 every year. This is exponential growth. We can write this as:
Note that the coefficient is 110000 because that is the year we are starting with. Also, note that it is 1.04 because we are essentially adding .04 to the original population.
Anyways, to find the present population, set y equal to 1 (because 1 year after last year is the present year)
The present population is 114,400 people.
For next year, set y equal to 2 (2 years after last year is next year)>
The population next year will be 118,976 people.