Question

Asma will donate up to 500$ to charity. The money will be divided between two charities: the City Youth Fund and the Educational Growth Foundation. Asma would like the amount donated to the Educational Growth Foundation to be at least four times the amount donated to the City Youth Fund. Let "x" denote the amount of money (in dollars) donated to the City Youth Fund. Let "y" denote the amount of money (in dollars) donated to the Educational Growth Foundation. Shade the region corresponding to all values of "x" and 'y" that satisfy these requirements.

PLEASE PROVIDE THE GRAPH

Answer 1

Answer:2y>x or x<2y

x+y < 500

The points satisfying the 2nd inequality is a triangle bordered by the x and y axes and a downward sloping line connecting points (0,500) and (500,0)

the 1st inequality is half a plane, above the line x=2y or a line through the origin, with slope 1/2

the two overlap in a triangle bordered by the y axis, the line x+y=500 and the line x=2y

It's a triangle with vertices (333 1/3, 166 2/3) (0,500) and the origin (0,0)

Basically

Explanation:

Answer 2

See attachment

Explanation:

y = 4x [ the amount, y, donated to the Educational Growth Foundation to be at least four times the amount donated to the City Youth Fund, x]

y + 4x ≤ $500