Question

The concentration (C) of a given substance in a mixture is the ratio of the amount of substance to the total quantity. In symbols,
S
C =__
Q

where C is the concentration, S is the amount of substance, and T is the total quantity. If 8 ounces of punch contains 4 ounces of pure orange juice, the concentration of orange juice in the punch is 4/8 or 50%. The punch is 50% orange juice. Consider the problem where we begin that 8 ounces of punch that is 50% orange juice and want to write a function that gives the orange juice concentration after x ounces of pure orange juice are added.

Questions:

a. How much orange juice do you begin with? Write an expression for the amount of orange juice present after x ounces has been added​

Answer 1

Answer:

4, 4 +x

B. 8 + x

C. C(x)= 4+x/8+x

D. x= -4 or (-4,0)

y= 0.5 or (0, 0.5)

Answer 2

The expression is 4 + x.

Given,

Consider the problem where we begin with 8 ounces of punch which is 50% orange juice.

To Find,

Write an expression for the amount of orange juice present after x ounces has been added​.

Solution,

We can solve the question as follows:

In the question, it is given that 8 ounces of punch contains 4 ounces of orange juice. Initially, 4 ounces of orange juice is present in the punch.

We have to find the amount of orange juice present after x ounces has been added. Therefore, the total amount of orange juice present will be the sum of the initial concentration of orange juice and the concentration added.

$Orange\: juice\: present = initial\: concentration + x\: ounces$

                                  $= 4 + x$

Hence, the expression is 4 + x.

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