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1

Math Sep 25, 2020

1. Elaine's height is 67 in. Determine, in terms of an inequality, those weights W that will keep her body mass index below 25.

2. A long-distance telephone call using Down East Calling costs 10 cents for the first minute and 8 cents for each additional minute. The same call, placed on Long Call Systems, cost 16 cents for the first minute and 6 cents for each additional minute. For what length phone calls is Down East Calling less expensive?

3. Bayside Insurance offers two plans. Under plan A, Giselle would pay the first $50 of her medical bills and 20% of all bills after that. Under plan B, Giselle would pay the first $250 of bills, but only 10% of the rest. For what amount of medical bills will plan B save Giselle money? Assume that her bills will exceed $250.

4. Young's rule for determining the amount of a medicine dosage for a child is given. The dosage of a medication for a 5 year old child must stay between 50mg and 100 mg. Find the equivalent adult dosage.

Expert Solution

Please see attached file

Her height is 67 inches, and BMI <25

Her weight has to be less than 159.64 pounds.

2. A long-distance telephone call using Down East Calling costs 10 cents for the first minute and 8 cents for each additional minute. The same call, placed on Long Call Systems, cost 16 cents for the first minute and 6 cents for each additional minute. For what length phone calls is Down East Calling less expensive?
Assume x minutes
The cost of long-distance call is 10 + 8(x-1)
The cost for Long call system is 16 + 6(x-1)
It is obvious x>0
So

So less than 4 minutes, Down East calling is less expensive.

3. Bayside Insurance offers two plans. Under plan A, Giselle would pay the first $50 of her medical bills and 20% of all bills after that. Under plan B, Giselle would pay the first $250 of bills, but only 10% of the rest. For what amount of medical bills will plan B save Giselle money? Assume that her bills will exceed $250.
Assume the medical bills is x dollars.
Then plan A: 50 + 20%(x-50) = 0.2x + 40
Place B: 250 + 10%(x-250) = 0.1x + 225
For plan B to save money, it satisfy

When the bill is over $1850, she pays less with plan B.

4. Young's rule for determining the amount of a medicine dosage for a child is given by
C = where a is the childs age and ad is the usual adult dosage, in milligrams

The dosage of a medication for a 5 year old child must stay between 50mg and 100 mg. Find the equivalent adult dosage.
A= 5

So the adult dosage is between 170 mg and 340 mg.

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