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?

Step-by-step 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

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

step-by-step explanation: