Question

HELLLP PLEASE !!!! ASAP

Darah has 200 milliliters of a salt and water solution that is 12% salt. She begins to add a salt and water solution
that is 5% salt to the 12% solution. The percent of salt in Darah's combined solution when x milliliters of the 5%
solution have been added can be modeled by Cwx) =
2,400 + 5x
200 + x
Two different tables of values for C(x) are given below. Use the tables to answer the questions that follow.
CO)
10.6
50
100
150
200
COX)
500 7.0
1.000 6.17
5,000 5.27
10,000 5.14
50,000 5,03
100,000 5.01
1,000,000 5.001
8.11
350
400
450
500
7.55
733
7.15
70
Part A: 2 points
Is this function increasing or decreasing? What does this mean in the context of the problem?
Part B: 2 points
What is the horizontal asymptote of the function? Interpret the meaning of the asymptote in
the context of the problem.

Answer 1

A) decreasing. Salt concentration is being reduced.

B) 5%. The more 5% solution that is added, the closer the mixture becomes to 5%.

Explanation:

A) Increasing values of x result in decreasing values of C(x), so the function is decreasing.

This means that when a lower concentration of salt solution is added to one of higher concentration, the result is a decrease in the concentration of salt in the mixture.

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B) As x gets very large, C(x) approaches 5. The horizontal asymptote is C=5.

In the context of the problem, it means that as the solution contains more and more 5% brine, the concentration of salt in the mix approaches 5%.