An inverted pyramid is being filled with water at a constant rate of 70 cubic centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 4 cm, and the height is 11 cm. Find the rate at which the water level is rising when the water level is 7 cm

0.98 cm/s

Step-by-step explanation:

We are given that

Height of pyramid=h=11 cm

Length of pyramid=Width of pyramid=l=b=4 cm

We have to find the rate at which the water level is rising when the water level is 7 cm.

Volume of pyramid=

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!

c.)

step-by-step explanation: