Algebra 2 H Areas and Riemann Sum

It takes 50 minutes for Joe to notice that his cola bottling machine has sprung a leak. Joe is able to sop the leak in 10 minutes. The graph shows the rate at which cola leaks from the machine as a function of time. How many cola does Joe lose in this bottling disaster?

• 940

• 980

• 490

• 530

A snowstorm lasts 18 hours. The graph below shows the rate of snowfall as a function of time. What is the total snowfall?

• 14

• 15

• 16

• 17

Approximate the area between the x-axis and g(x) from x=-1 to x=5 using the right Riemann sum with 3 unequal subdivisions.

• 25

• 35

• 30

• 49

Approximate the area between g(x) and the x-axis from x=2 and x=6 using a left Riemann sum with 4 equal subdivisions.

• 19

• 20

• 21

• 22

Approximate the area between the x-axis and $g\left(x\right)=2^x$  from x=-2 to x=2 using a right Riemann sum with 4 equal subdivision.

• 6.75

• 7.5

• 3.75

• 5.5