Answer:
[tex]S(x)=-0.4x+42[/tex]
The value of S(50) is 22 in means the amount of sodium iodine in the mixture is 22 when 50 milliliters of the 20% solution used.
Step-by-step explanation:
It is given that a chemist working on a flu vaccine needs to mix a 20% sodium-iodine with a 60% sodium-iodine to obtain a 70-milliliter mixture.
Let x be the number of milliliters of the 20% sodium-iodine.
Number of milliliters of the 60% sodium-iodine = 70-x
The amount of sodium iodine in the mixture is 20% of x and 60% of (70-x).
[tex]S(x)=0.20x+0.60(70-x)[/tex]
[tex]S(x)=0.2x+42-0.6x[/tex]
[tex]S(x)=-0.4x+42[/tex]
Therefore,the required function is [tex]S(x)=-0.4x+42[/tex].
Substitute x=50 in the above equation.
[tex]S(50)=-0.4(50)+42[/tex]
[tex]S(50)=22[/tex]
The value of S(50) is 22 in means the amount of sodium iodine in the mixture is 22 when 50 milliliters of the 20% solution used.
