A city has been growing rapidly in recent decades, especially with regard to constructing large buildings. A city planner noticed that the number of large buildings in the city after 3 years can be modeled by the equation B = 30 x 3" . In this equation, what does 3* represent? A The number of buildings increases by a factor of x each year for 3 years B The number of buildings increases by x buildings every year The number of buildings increases by a factor of 3 every year D The number of buildings increases by 3 buildings each year

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.

1. for division, flip the second fraction.

2. factor the numerator and denominator completely.

3. divide out common factors.

4. multiply the simplified fractions.