Question

In 1992​, there were 41 comma 984 shopping centers in a certain country. In 2002​, there were 48 comma 225. ​(a) Write an equation expressing the number y of shopping centers in terms of the number x of years after 1992. ​(b) When will the number of shopping centers reach 80 comma 000​?

Answer 1

Explanation:

The equation expressing the number y of shopping centers in terms of the number x of years after 1992 will be LINEAR in nature

The standard equation is expressed as;

y = mx+c

m is the slope

c is the intercept

If in 1992​, there were 41,984 shopping centers in a certain country and in 2002​, there were 48,225 we can express this as coordinate points

(0, 41984) and (10, 48,225)

Get the slope

m = 48,225-41,984/10-0

m = 6241/10

m = 624.1

Get the intercept, substitute m = 624.1 and the point (0,48225) into the formula y = mx+c

48225 = 624.1(0)+c

48225 = 0+c

c = 48225

Get the required equation

y = 624.1x+48225