Sunita planned a family vacation to Manali. On reaching the hotel, they were informed that a part of the room charges is fixed at ₹ 500 and the remaining depends on the additional bedding required in the room. Additional bedding will be charged at ₹200 per bedding.
a)If the total charges are considered as ₹y and number of additional beddings as x, the
linear equation for the given situation is:
b)If the number of beddings required by Sunita is 3, then the total charges paid by her is:
c)If the total charges paid by Sunita is ₹900, the additional beddings taken by her is:
d)The graph of a linear equation in two variables is
e)If the hotel management said for one bedding they need not pay, then how much amount they
paid for the family:
Answers
Given : A part of the room charges is fixed at ₹ 500 and the remaining depends on the additional bedding charged at ₹200 per bedding.
To Find : linear equation
the number of beddings required by Sunita is 3, then the total charges paid by her
the total charges paid by Sunita is ₹900, the additional beddings taken by her is:
Solution:
Fixed charges = ₹ 500
Addition Bedding charges = ₹200 per bedding.
Number of Additional beddings = x
Charges for x Additional bedding = 200x
Total Charges = y
=> y = 500 + 200x
linear equation is y = 500 + 200x
number of beddings required by Sunita is 3
y = 500 + 200(3) = 1100 ₹
total charges paid by Sunita is ₹900
=> 900 = 500 + 200x
=> x = 2
Additional Bedding required = 2
The graph of a linear equation in two variables is a straight line
for one bedding they need not pay,
Then they paid
= 500 + (3 - 1) 200
= 900 ₹
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