Multiplying and Dividing Rational Expressions

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

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 3

Which rational function represents this situation?

Revolt · Accepted Answer

y = 19,800/x

Question 4

Which function represents the percent concentration, y, of the final mixture?

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/3111-08-11-10-08-task/mc001-3.jpg

Question 5

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 6

Which rational function models the average annual cost, in dollars, of the refrigerator if it is kept for x years?

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/3111-08-11-10-13-task/mc001-1.jpg

Question 7

Question 7

Revolt · Accepted Answer

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

Question 8

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

Revolt · Accepted Answer

14 years

Question 9

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

Revolt · Accepted Answer

200 + x

Question 10

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

Revolt · Accepted Answer

g(x)

Multiplying and Dividing Rational Expressions Answers

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