Hayley and Phoebe have a lemonade stand where they sell cups of lemonade for $0.75 apiece. The function p left parenthesis c right parenthesis equals 0.75 c represents the profit p(c) that the girls earn if they sell c cups of lemonade. The girls have 150 cups. Find the domain and range. Write your answers as compound inequalities.

step-by-step explanation:

yes.. it's proven to be 36.

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.

the first domain and range set to the left is matched with the top relation, and the second set the set in the middle goes with the bottom relation.