Martha is making her favorite punch for the school dance. The directions call for 5 cups of water for every ½ cup of punch mix. What is the number of cups of water she will need for 6 cups of punch mix?

60

Step-by-step explanation:

5water=1/2punch multiply by 12 to get 6 cups of punch so 5 x 12=60 and 1/2 x 12=6

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