Question

At the present times, the decreasing water level is the major
problem. So in order to conserve the water, a housing society
people decided to do rainwater harvesting. Rain water is the
major source of water harvesting. For this purpose rain water is
collected in under groundtank at the rate of 30 cm /s. Taking the
volume of water collected in x second as y cm".
i) Write a linear equation according to given question.
(bly=30x.
(a)30=yx.
(c)x=30y.
(d)x=30+y
(i) Write the above equation in standard form as ax+by+c=0
(aly+30x+0=0. (b)30x-y+0=0. (c)30y+x+0=0. (d)none of these
(ii) Value of (a+b+c) is
(a)29
(b)19.
(c)9.
(d)39.
(iv) if x=2 then y= ?
(a)60.
(b]90.
(c)12.
(d)150.
(v) if y=120 then x = ?
(a)2.
(b) 3.
(c) 4.
(d) 15.
​

Answer 1

SOLUTION

GIVEN

At the present times, the decreasing water level is the major problem. So in order to conserve the water, a housing society people decided to do rainwater harvesting. Rain water is the major source of water harvesting. For this purpose rain water is collected in under groundtank at the rate of 30 cm /s. Taking the volume of water collected in x second as y cm".

i) Write a linear equation according to given question.

(a)30=yx.

(b) y=30x.

(c)x=30y.

(d)x=30+y

(i) Write the above equation in standard form as ax+by+c=0

(a) y+30x+0=0.

(b)30x-y+0=0.

(c)30y+x+0=0.

(d)none of these

(ii) Value of (a+b+c) is

(a)29

(b)19.

(c)9.

(d)39.

(iv) if x=2 then y =

(a)60.

(b]90.

(c)12.

(d)150.

(v) if y=120 then x =

(a)2.

(b) 3.

(c) 4.

(d) 15.

EVALUATION

Here it is given that the rain water is collected in under groundtank at the rate of 30 cm /s.

(i) Taking the volume of water collected in x second as y cm

∴ y = 30x

Hence the correct option is (b) y = 30x

(ii) y = 30x can be rewritten in the form ax+by+c=0

30x - y + 0 = 0

Hence the correct option is (b) 30x - y + 0 = 0

(iii) On comparison we get a = 30 , b = - 1 , c = 0

a + b + c = 30 - 1 + 0 = 29

Hence the correct option is (a) 29

(iv) When x = 2 we have

$\sf{y = 30 \times 2 = 60}$

Hence the correct option is (a) 60

(v) When y = 120 we have

$\sf{120 = 30x}$

$\implies \sf{x = 4}$

Hence the correct option is (c) 4

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Answer 2

Answer:

1) (b) y=30x

2) (b) 30x - y+0=0

3) (a) 29

4) (a) 60

5) (c) 4