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

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm