Question

A.) Identify the coefficient an exponent of this power functionB.) If the width is 5 cm what is the area of the rectangle

Answer 1

a) The area of the rectangle is modeled by the function

`A=3w^2`

The coefficient of any variable is the constant that multiplies said variable.

In this case, the variable is represented by the letter "w" and is multiplied by 3. This number represents the coefficient.

The exponent corresponds to the value or values that appear as superscripts on the variable. In this case, the variable has one superscript, which is number 2.

So the coefficient of the function is 3 and the exponent of the function is 2.

b) You have to determine the area of the rectangle if the width is 5cm.

To do so, replace the value w=5 in the formula:

`A=3(5)^2`

Solve the exponent first, and then the multiplication:

`A=3\cdot25=75`

The area of the rectangle is 75 square centimeters when the width is 5 centimeters.