Brad makes his own snack mix using whole grain cereal and mixed nuts. one batch of his recipe makes 6 cups of snack mix. brad uses 3 times as much cereal as mixed nuts. the system below can be used to find the number of cups of cereal and number of cups of mixed nuts brad uses to make one batch of snack mix.

  of  mixed nut and   of cereal nut.  

Step-by-step explanation:

Let the mixed nut be x

and since, Brad is using 3 times as much cereal as mixed nuts.

So, the cereal nut will be 3x.

Brad is using 6 cups of snack mix for one batch.

So, the equation becomes:

x +3x=6.

4x=6.

x =6/4

x=3/2.

So, Brad is using of  mixed nut

And cereal is 3 times of mixed nut

Therefore,

And

of cereal nut.  

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