Suppose we approximate the value of 1/128 by rounding to 3 decimal places. a) what would be the approximation? b) what is the number of significant digits in the approximation? c) what is the absolute error? d) what is the relative error?

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Step-by-step explanation:

Calculating i found the value of = 0.0078125

a.therefore the approximate valve of   (correct to three       decimal places) = 0.008

b. there are three significant digits in my approximation.

c. the absolute error = | exact value- approximate value |

   =|0.0078125- 0.008|= |-0.0001875| = 0.0001875

d.relative error=

    = = 0.024

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

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step-by-step explanation: