The gades foundation and hbm corporation are eager to donate generously to their favorite charities. the gades foundation donated $ 2 5 0 $250 in the first month, and each month afterward their cumulative donation total increases by $ 1 0 0 $100. the hbm corporation donated $ 6 4 $64 in the first month, and each month afterward their cumulative donation total increases by 7 5 % 75%. they started making donations at the same time, and they both make their monthly donations at the beginning of each month. what is the first month in which hbm corporation's cumulative donation total exceeds the gades foundations' cumulative total?

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

something over 10 so ? /10

step-by-step explanation: