The graph below shows the rate of natural gas usage (in therms per day) in one household for a 30 - day period. Estimate the total number of therms used during this period. Use left endpoints and rectangles with widths of 3 days.

View graph at:

postimg.o r g/image/61nw3co3r/

They conveniently have the x-axis divided into 3-day periods.

For the first rectangle, the height is 3, so its area is 3x3 = 9

The next rectangle has height 4, and so on.

Then just add up all the areas.

I'm lost. I think am adding wrong.

so, what are you adding? Just look at the height of the left side of each rectangle in the picture, and multiply by the width, which is always 3.

i came up with 165.

To estimate the total number of therms used during this period, we will need to calculate the area of the rectangles formed by the graph.

1. Start by opening the graph at the provided link to get a visual representation of the data.

2. Observe the graph and take note of the y-axis scale, which represents the rate of natural gas usage in therms per day.

3. Locate the rectangle formed by the first three days on the graph. Determine the height of the rectangle by looking at the value on the y-axis.

4. Multiply the height of the rectangle by the width (3 days) to get the area of this rectangle. This will give you an estimate of the number of therms used during this three-day period.

5. Repeat this process for each set of three days on the graph. Calculate the area of each rectangle using the corresponding values on the y-axis.

6. Add up the areas of all the rectangles to get an estimate of the total number of therms used during the 30-day period.

Note: Since the graph provided is not visible to the AI, I can only guide you through the steps to estimate the total number of therms used, but I cannot provide specific calculations without the graph.