Avani is building a rectangular play area. the length of the play area is 7.5 meters. the width of the play area is 5.3 meters. if she wants to cover the area in foam, how much foam does she need to buy? due to the accuracy of the tape measure avani  used, the amount of foam needed to cover the play area is 

The area is 7.5 × 5.3 = 39.75 sq meters.  But that might not be enough because our measurements are inaccurate.

We're given the measurements to one decimal place so let's assume the measurements are accurate to

So to be safe, Avani buys

7.55 × 5.35 = 40.3925  ≈ 40.4 square meters of foam

40.4 sq m

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