The Widget Manufacturing industry has approximately 123.2 thousand Jobs in 2020, but has expected to decline at an average annual rate of 4.4 thousand jobs per year from 2020 to 2030. Assuming this holds true, what will be the industry's percent of change from 2020 to 2030?

35.71%

Step-by-step explanation:

So, let's determine the number of jobs the industry will have in 2030.

So, in 2020, the industry has 123,200 jobs.

Each year, the industry loses 4,400 jobs.

Thus, by 10 years in (2030), the industry would have lost (4,400)(10) or 44,000 jobs.

This means that in 2030, there will only be 123,200-79200 jobs left.

Now, percentage change is given by:

The new value is 79200 and the old value is 123,200. Substitute them:

Use a calculator. Simplify:

If the result is negative, then it's a decrease. Therefore, the percentage change from 2020 to 2030 is approximately 35.71%

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is