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A small rural town has experienced a population decrease at a rate of 25 people every 5 years since 1970. If the population of the town in 1970 was 250, which of the following equations represents the town’s population as a function of time? (Assume 1970 is represented by x = 0, 1971 is represented by x = 1, and so on).

Ay = –5x + 250
By = –25x + 250
C–5x + y = 250
D–x – 25y = 250

Verified Answer :

taskmasters

Here y is the population and x is the year since 1970.

 
The "population decreases at the rate of 25 people every 5 years"


slope of a line = difference in y / difference in x (or rise / run) = -25 / 5


slope m = -5

when x = 0 (that is the year 1970), the population is 250.
x = 0 represents the y-intercept

Answer is C. -5x+y=250

Answer:

A (tested this and was Correct)


beware there's a similar question but not the same  equations


Step-by-step explanation:


slope of a line = difference in y


or


difference in x (or rise over run) = -25 / 5  slope m = -5


when x = 0 (that is the year 1970), the population is 250.


x = 0 represents the y-intercept.


so the answer choice could have the slope = -5 and y-intercept = 250


which leads to A  y = –5x + 250


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