Question

The newspaper in Haventown had a circulation of 80,000 papers in the year 2000. In 2010, the circulation was 50,000.

Answer 1

What number will complete the point-slope equation that models this scenario?

y -50,000 =______(x -10)

A.) -3,000

B.) -2,000

C.) 2,000

D.) 3000

Answer : A.) -3,000

x = 0 representing the year 2000, circulation was 80,000.

x =10 representing the year 2010,circulation was 50,000.

Point slope equation is

$y-y_1=m(x-x_1)$, where m is the slope and (x1,y1) is one of the point

We have two points, (0,80000)  and (10,50000)

Now we need to find slope (m)

$m =\frac{y_2 - y_1}{x_2-x_1}$=$\frac{50000-80000}{10-0} =\frac{-30000}{10} = -3000$

So answer is y -50,000 =-3000(x -10)

Answer 2

Can we get the answer \