5:06 PM RA6.pdf 10 Name: Math 91 Relevant Application RA 6: Systems of Equations

Question

5:06 PM RA6.pdf 10 Name: Math 91 Relevant Application RA 6: Systems of Equations (Show your work!) You may write your amswers directly on this sheet. Show all your work. . Imagine that you have an elementary school-age child and are researching childcare options. You find two that you like one at a child-care center, one is based in a family's home so it basically comes down to which one will be cheapest. The child-care center charges $300 to enrol, then $79 per week The family-run childcare charges $180 to enroll, then $93 per week a) Setup two functions to represent the cost of each. b) Which childcare approach will be the cheapest in the short-tem, child-care center or family-run? c) To choose which plan is best, you need some idea of how long your child will be enrolled. Determine the number of weeks at which it becomes more cost-effective to choose the long-term option. Use Algebra and SHOW YOUR WORK!) Neither childeare accepts partial week payments.) 2. You are shopping for health insurance. Flightline Insurance offers two plans: Plan A: You would pay the first $50 ofyour medical bills and 20% of all bills after that. Plan B: You would pay the first $250 of the bills but only 10% of the rest. a) Which plan do you think is better? Why? b) Ifxrepresents the amount of medical bills ($), write a function representing the amount of money that you would pay: (for the 20% portion after the initial $50, this can be written as.2(x-50), but that's not the whole answ Plan A: Amount to be Paid, A(x) Plan B: Amount to be Paid, B(*) c) For what amount of medical bills (exact!) will plan B save you money, assuming that your medical bills will exceed $250? Disclaimer: The values given in example 2 are not realistic -they are simpie for our practicing puposes, and don't nclude consideration of insurance premium costs.

Explanation / Answer

function for child care option can be written as

C = 300 + 79x

function for family run child care can be written as

C = 180 + 93 x

b) for short term family child care option is cheaper

c) setting both equations equal to each other

300 + 79 x = 180 + 93 x

300 - 180 = 93x - 79x

x = 8.571

so , in long run that is after approximately 9 weeks , child care center option is cheapest

Related Questions

Navigate

• Browse (All)
• Browse 5
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.