Modeling with Rational Functions Answers

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?

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

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

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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?

Which rational function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour? y = x/6.4y = x/160y = 6.4/x✔ y = 160/x

Colleen plans to start a small business by making and selling skirts. A sewing machine costs $250, and she estimates that she will spend $15 on materials for each skirt.Which expression represents Colleen’s total costs, in dollars, for making x skirts?

Which rational function models the average cost per skirt, y, in dollars, for making a total of x skirts?

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

What does k represent in this situation?

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

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

What does the number 160 represent in the rational function that models the situation?

Why does it make sense in this situation that the function has this horizontal asymptote?The average cost per person is always greater than $630 because of the fee for the tour guide.The average cost per person is always less than $630 as long as more than one person goes on the vacation.The average cost per person equals $630 after a certain number of people go on vacation.

Which rational function represents this situation?

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