Josie has a rug with an area of 18 square ft. that is 6 ft long and 3 ft wide. she will put the rug on a floor that is covered in 1/3 sq. ft. tiles. how many tiles will the rug cover? what equation can you use to check your answer?

Step-by-step explanation:

Josie has a rug with an area of 18 square ft. The length is 6 feet and the width is 3 feet.

She will put the rug on a floor that is covered in 1/3 sq. ft. tiles.

To determine the number of tiles that the rug will cover, we would divide the area of the rug by the area of each tile on the floor. It becomes

18 ÷ 1/3 = 18 × 3 = 54

The rug will cover 54 tiles

The equation that can be used to check the answer is

Let number of tiles be x. Let area of rug needed to cover x tiles be y. Therefore,

y = x/3

f(x) = y

f(-3) = -5

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places