Question 1. if $9,830 is 35% of the budget what is 100% of the budget?

Hello from MrBillDoesMath!

28086   approx.

Discussion:

Let "x" be the total budget. We are told that

9830 = 35% x =>                 as 35% = 35/100 = 0.35

9830 = 0.35 x =>                 divide both sides by 0.35

x = 9830/ 0.35 =  28086   approx

Thank you,

MrB

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.