The table of values below shows the rate of water consumption in gallons per hour at selected time intervals from t = 0 to t = 12.

using a left riemann sum with 5 subintervals, estimate the total amount of water consumed in that time interval.

x 0 2 5 7 11 12
f(x) 5.7 5.0 2.0 1.2 0.6 0.4

The total amount of water consumed in that time interval is 35.8.

Step-by-step explanation:

A Riemann sum is used to find  the approximate area under a curve by dividing it into multiple rectangular shapes.

The height of each rectangle in these multiple shapes is equal to the value of the function at the right endpoint of the base of rectangle.

The formula of Riemann sum is

Therefore the total amount of water consumed in that time interval is 35.8.

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step-by-step explanation:

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y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3