Aaron is considering two health insurance plans. The Get Well Soon Company charges an annual fee of 100 plus 10 per doctor visit, given y=100+10x. The Mega Coverage Company charges $35 per doctor, with no annual fee, represented by the equation: y=35x.
Which insurance company has the LOWER rate and what is the rate?
Answers
Given : Aaron is considering two health insurance plans. The Get Well Soon Company charges an annual fee of 100 plus 10 per doctor visit, given y=100+10x. The Mega Coverage Company charges $35 per doctor, with no annual fee, represented by the equation: y=35x.
To Find : Which insurance company has the LOWER rate and what is the rate?
Solution:
y=100+10x.
y=35x.
Equate both
=> 35x = 100 + 10x
=> 25x = 100
=> x = 4
For 4 doctor visits charges are same and Rate 35 $ per doctor visit
for less than 4 doctor visits
y=35x is lower rate
and Rate 35 $ per doctor visit
for more than 4 doctor visits
y=100+10x. is lower rate
10 < Rate per doctor visit < 35
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Given:-
Aaron is considering two health insurance plans. The Get Well Soon Company charges an annual fee of 100 plus 10 per doctor visit, given y=100+10x. The Mega Coverage Company charges $35 per doctor, with no annual fee, represented by the equation: y=35x.
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To Find:-
Which insurance company has the LOWER rate and what is the rate?
____________________________________
Step-by-step solution:-
y = 100 + 10x. ------- (1)
y = 35x. --------(2)
Equating equation (1) & (2)
→ 35x = 100 + 10x
→ 25x = 100
→ x = 4
For 4 doctor visits charges are same and Rate 35 $ per doctor visit
→ for less than 4 doctor visits
y = 35x is lower rate
and Rate 35 $ per doctor visit
→ for more than 4 doctor visits
y=100+10x. is lower rate
10 < Rate per doctor visit < 35
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