A city keeps track of the number of new small businesses which open in any given year, as well as how many of those new businesses report profit in excess of their initial investment after one year’s time. An example of the data collected can be viewed in the table below. Year 1998 1999 2000 2001 2002 New 781 699 626 730 762 Profitable 311 205 217 264 244 If 684 new small businesses opened in 2003, approximately how many of them could be expected to turn a profit in excess of their initial investment by 2004? a. 200 b. 236 c. 247 d. 272

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation:

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!