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Igoryamba
3 years ago
12

The water level in the Lake changes by - 11 1/2 inches over to 2 1/4 months what was the average change over a month

Mathematics
1 answer:
Illusion [34]3 years ago
7 0
To answer this, determine the change in water level over 2 1/4 months:  it's -11.5 inches.  Next, divide this change by the time involved:

-11.5 inches
------------------- = -5 1/9 inches per month (answer)
  2.25 months 
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Rudiy27

Answer: y = 3.5 x+ 43.8

Step-by-step explanation:

Here x represents the number of years after 1990

Thus, we get the table that is used to find the equation will be,

x             0                  2                4               6                8

y             45                51               57            61               75

Let the equation that shows the above data,

y = b + a x ---------(1)

\text{Where, }a=\frac{\sum y \sum x^2-\sum x \sum xy}{n(\sum x^2)-(\sum x)^2}

\text{And, }b = \frac{\sum xy - \sum x\sum y}{n\sum x^2 - (\sum x)^2}

By the above table,

\sum x = 20

\sum xy = 1296

\sum x^2 = 120

\sum y = 289

By substituting these values in the above value of a and b,

We get b = 43.8 and a = 3.5

Substitute this value in equation (1)

we get, the equation that shows the given data is,

y = 3.5 x + 43.8

⇒ Option (3) is correct.

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