This diagram is a scale drawing of a store. To the nearest 50 square feet, what is the area of the actual store

  2500 ft²

Step-by-step explanation:

The missing area at lower right in the diagram has dimensions ...

  (4 -2 1/4) by (3 -1 3/4) = (1 3/4) by (1 1/4)

Then the area of that "missing" space is ...

  (1.75)(1.25) = 2.1875 . . . . square inches.

The area of the enclosing rectangle is ...

  (4 in)(3 in) = 12 square inches

Then the area in the diagram representing the store is ...

  12 in² -2.1875 in² = 9.8125 in²

__

Each square inch on the diagram represents an actual area of ...

  (1 in)×(1 in) ⇒ (16 ft)×(16 ft) = 256 ft²

Then the actual store area is ...

  9.8125(256 ft²) = 2512 ft²

Rounded to the nearest 50 ft², this is 2500 ft².

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

thats one

step-by-step explanation: