Modeling with Rational Functions

Question 1

A chemist has 200 mL of a 10% sucrose solution. If she adds x milliliters of a 40% sucrose solution, what is the percent concentration of the final mixture?Which expression represents the total mass, in grams, of sucrose in the final mixture?

Revolt · Accepted Answer

0.1(200) + 0.4x

Question 2

What does k represent in this situation?

Revolt · Accepted Answer

the number of gallons of water needed to fill the pool

Question 3

Which rational function represents this situation?

Revolt · Accepted Answer

y = 19,800/x

Question 4

A refrigerator costs $850. The estimated yearly operating cost of the refrigerator is $62.Average annual cost = Purchase price + Total operating cost Number of yearsWhich expression represents the total cost, in dollars, of owning the refrigerator for x years?

Revolt · Accepted Answer

850 + 62x

Question 5

Question 5

Revolt · Accepted Answer

After one year, the cost of the refrigerator modeled by f(x) is cheaper.

Question 6

If the three hoses are used to start filling the pool at 10 a.m. on Tuesday, when will the pool be completely filled?

Revolt · Accepted Answer

4 a.m. on Wednesday

Question 7

Which expression represents the total volume, in milliliters, of the final mixture?

Revolt · Accepted Answer

200 + x

Question 8

After how many years will the average annual cost of the two refrigerators be equal?

Revolt · Accepted Answer

14 years

Question 9

In the long run, the cost of the refrigerator modeled by will be the cheapest, averaging $ per year.

Revolt · Accepted Answer

g(x)

Modeling with Rational Functions Answers

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