When Emma was born she was 20.5 inches long. At her 6-month checkup, she was 26.25 inches long. Emma's length . Percent Change = Amount of Change Original Amount = 5.75 20.5 = 0.2804 The approximate percent change in her length was?

28%

Step-by-step explanation:

Emma's length at birth = 20.5 inches.

Her length after 6 months = 26.25 inches

Change in Emma's length = (26.25 - 20.5) inches

                                            = 5.75 inches

Percentage change in her length = × 100

                                                        = × 100

                                                        = 28.049%

The approximate percent change in her length is 28%.

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:

1) is right

step-by-step explanation: