Assignment 0.03 : Linear Equations and Inequalities Answered: 20/22 square Suppose p varies directly with q and that p=72 when q=12 What is the value of p when q=4 p=square

To solve this problem, we need to use the concept of direct variation. Direct variation means that two variables are related in such a way that the ratio between them is constant. In this case, \( p \) varies directly with \( q \), which can be written as:<br /><br />\[ p = kq \]<br /><br />where \( k \) is the constant of proportionality.<br /><br />Given that \( p = 72 \) when \( q = 12 \), we can find the value of \( k \):<br /><br />\[ 72 = k \cdot 12 \]<br />\[ k = \frac{72}{12} \]<br />\[ k = 6 \]<br /><br />Now that we have the constant of proportionality, we can find the value of \( p \) when \( q = 4 \):<br /><br />\[ p = 6 \cdot 4 \]<br />\[ p = 24 \]<br /><br />So, the value of \( p \) when \( q = 4 \) is:<br /><br />\[ p = 24 \]