Asmall 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).

a. y = –5x + 250
b. y = –25x + 250
c. –5x + y = 250
d. –x – 25y = 250

Option A. y = –5x + 250

Step-by-step explanation:

Let y be the function of x, that is f (x) which is a line with slope m, and intercept b with the y axis.

So,

y = mx + b, where

m = population decline at a rate of 25 people every 5 years

m = - 25 people / 5 years = - 5

x = time = years elapsing

b = population of the town in 1970

b = 250

y = -5x + 250

answer: do we write it

step-by-step explanation:

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,