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Easy

Question

# After diluting salt water, the concentration of salt in the water is given by the function , where x is the time in hours since the dilution.

b. After how many hours will the concentration of salt in the water be ?Round to the nearest hundredth.

## The correct answer is: After 3 hours the concentration of salt in water will be 0.2.

### We have given the value of f(x) = 0.2

0.2 = 0.5x/ x^{2}- 1

0.2(x^{2}- 1) = 0.5x

0.2x^{2}- 0.2 – 0.5x = 0

2x^{2} – 5x – 2 = 0

= 2.85

= 3

After 3 hours the concentration of salt in water will be 0.2.

^{2}- 1

0.2(x

^{2}- 1) = 0.5x

0.2x

^{2}- 0.2 – 0.5x = 0

2x

^{2}– 5x – 2 = 0

= 2.85

= 3

After 3 hours the concentration of salt in water will be 0.2.

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