First-grade student, Noah, has set up a lemonade stand in his front yard. It cost $10 for the initial supplies, and it costs him $0.05 for each cup of lemonade he makes. He is selling his lemonade for $0.50 per cup. How
many cups of lemonade must Noah sell in order to not lose any money? Write a system of linear equations
that models Noah's expenses and revenue. Let c represent the number of cups of lemonade sold, and let y
represent the total expenses or total revenue.

is there a picture

step-by-step explanation:

a is 8.b is 10.c is 10.5. d is -.5

step-by-step explanation:

just minus the smallest number from the biggest.

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.

where is the option given