Ahot tub holding 480 gal of water begins to empty at a rate of 5 gal/min. at the same time, an empty hot tub begins to fill at a rate of 15 gal/min. let g represent the number of gallons of water and let t represent time in minutes. the system models this situation.
how long will it take for the hot tubs to hold equal amounts of water, and how much water will that be?
g = 480 – 5t
g = 15t

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!