Two ponds in a garden are being filled with water from separate hoses
MATHEMATICS · Multi-part · CBSE · Mathematics · Tales by Dots and Lines · Tales by Dots and Lines
Problem
Two ponds in a garden are being filled with water from separate hoses. The amount of water in each pond after t minutes is shown below.
*Pond P:*
<i>Time (<math>t</math> minutes)</i>
0
1
2
3
4
<i>Amount of water (<math>A</math> L)</i>
10
20
30
45
60
*Pond Q:*
<i>Time (<math>t</math> minutes)</i>
0
1
2
3
4
<i>Amount of water (<math>A</math> L)</i>
5
20
35
50
65
(a) Plot A against t for each pond.
(b) Which pond is being filled at a constant rate? Explain your answer.
(c) For the pond which is being filled at a constant rate:
i Find the gradient and A-intercept of the line, and explain what these values mean.
ii Find the equation connecting A and t.
iii Find the amount of water in the pond after 8 minutes.