Micaela measures her floor and finds its length to be 0.6 m longer than the width w. Which function rule describes A, the area of the floor of Micaela's room?

Respuesta :

Answer:

The area function can be given as:

[tex]A(w)=w^2+0.6w[/tex]

Step-by-step explanation:

Given:

Width of the floor = [tex]w[/tex] meters

Length is 0.6 meters  longer than the width

To find the function rule that describes area [tex]A[/tex] of the floor of Micaela's room.

Solution:

Width of floor in meters = [tex]w[/tex]

So, length of the floor would be given in meters as = [tex](w+0.6)[/tex]

Area = [tex]length\times width[/tex]

Thus area [tex]A[/tex] of the floor as a function of width can be expressed as:

[tex]A(w)=w(w+0.6)[/tex]

Using distribution:

[tex]A(w)=w^2+0.6w[/tex]   (Answer)