A flight instructor charges $50 per lesson, plus an additional fee for the use of his plane. The charge for the use of the plane varies directly with the square root of the time the plane is used.

If a lesson plus 16 minutes of plane usage costs $90, what is the total amount charged for a lesson with 36 minutes of plane usage?

410 ;

Answered by littlepaw146 | 2024-06-12

The **total amount **charged for a lesson having 36 minutes of plane usage is $110.
Given that, a flight instructor charges $50 per lesson, plus an additional fee for the use of his plane.
The charge for the use of the plane varies **directly **with the square root of the time the plane is used.
x∝√y
x=k√y
Here, 90 = 50 + k√16
k = (90-50)/4
k = 40/ 4
k = 10
For 36 minutes, total charge
Total amount charged = 50 +10√36
Total amount charged = 50 + 10×6
Total amount charged = 50+60
= $110
Therefore, the **total amount **charged for a lesson having 36 minutes of plane usage is $110.
To learn more about the** unitary method v**isit:
brainly.com/question/22056199.
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Answered by bhoopendrasisodiya34 | 2024-06-17

The total cost for a lesson with 36 minutes of plane usage is $110. This cost consists of a $50 lesson fee and an additional $60 for the plane usage based on the square root of the time used. The variable fee is determined using a proportionality constant found from the cost of a previous lesson with 16 minutes of usage.
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Answered by bhoopendrasisodiya34 | 2024-10-10