<u>Part a)</u>
Given the expression
Apply exponent rule:
∵
Rewrite 81 as 3 · 27
Rewrite 54 as 2 · 27
Factor out the common term: 27m³n
Therefore,
<u>Part B)</u>
Given the expression
Apply exponent rule:
Rewrite as
Factor out common term 5y²x²z
Therefore,
<u>Answer-</u>
<em>The amount of water is the dependent value.</em>
<u>Solution-</u>
Plotting the graph from the given data points, it comes out to be a straight line with positive slope. So, both the variables i.e amount of rice and amount of water are in a linear relationship. They are directly proportional to each other.
As the amount of rice increases, the water needed to cook the rice also increases. Plotting a graph taking amount of rice in abscissa and amount of water in ordinate, a straight line was obtained.
Here, amount of rice is the independent variable and amount of water is dependent variable as it depends on the amount of rice.
