Read the following scenario:

A barista has to make forty pounds of a special blend of coffee at Moonbucks, using Vanilla Dream beans and Strawberry Heaven beansIf there are twelve more pounds of Vanilla Dream beans in the mixture than Strawberry Heaven beans, then how many pounds of each will she use?

If x represents the number of pounds of Strawberry Heaven coffee beans in the mixture, then which of the following equations could be set up in order to find the number of pounds of each variety of bean?

Possible Answers:
x−(x+40)=12

x+(x−12)=40

x+(x+12)=40

x+(x+40)=12

x−(x+12)=40

x + (x + 12) = 40

Step-by-step explanation:

Given the total amount of special blend, coffee is forty pounds using Vanilla Dream beans and Strawberry Heaven beans.

Now, it is also given that the Vanilla Dream beans in the mixture are 12 more pounds than Strawberry Heaven beans.

In the mixture, if there are x pounds of Strawberry Heaven coffee beans, then the Vanilla Dream beans will be of (x + 12) pounds.

So, we can write the equation as, x + (x + 12) = 40. (Answer)

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.