In may 1998, forest fires in southern mexico and guatemala spread smoke all the way to austin. those fires consumed forest land at a rate of 24300 acres/week. on the average, how many square meters of forest are burned down every minute? an acre is an area equivalent to that of a rectangle 60.5 yd wide and 80 yd long, there are 36 inches in one yard, and there are 2.54 cm in one inch. answer in units of m2 /min.

9657 square meters of forest are burned a minute

Step-by-step explanation:

The first step is to find how many acres of forest are burned down every minute. The ratio is given in acres a week, so we first need to find how many minutes are there in a week.

Step 1: Number of minutes in a week

Each day has 24 hours, of 60 minutes. So in each day there are 1440 minutes.

A week has 7 days, so in a week there are 1440*7 = 10080 minutes.

Step 2: Number of acres consumed a minute

Those fires consumed forest land at a rate of 24300 acres/week. From step 1, we have that in a week there are 10080 minutes. So, in 10080 minutes  24300 acres are consumed. With a simple direct rule of three, we find how many acres are burned every minute

1 minute - x acres

10080 minutes - 24300 acres

x = 24300/10080

x = 2.41 acres a minute

2.41 acres are consumed a minute.

Step 3: Conversion of units

I am going to convert from m to cm to inches to yard to acres.

1m is 100cm, so:

100 cm - 1 m

2.54 cm - x m

x = 0.0254 m

In one inch there are 2.54cm = 0.0254 m

In one yard there are 36 inches, so in one yard there are 36*0.0254 = 0.91m.

so the rectangle of which an acre is an area equivalent has the following dimensions.

width = 60.5yd = 60.5*(0.91)m = 55.05m

length = 80yd = 80*0.91m = 72.8m

The area of a rectange of the product between width and length, so an acre is 55.05*72.8 = 4007 .

2.41 acres of forest are burned a minute, so 2.41*4007 = 9657 square meters of forest are burned a minute.

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step-by-step explanation:

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."