Bird Gibson

08/06/2023 · Middle School

Suppose that the price \( p \), in dollars, and the number of sales, \( x \), of a certain item follow the equation \( 4 p+3 x+2 p x=46 \). Suppose also that \( p \) and \( x \) are both functions of time, measure in days. Find the rate at which \( x \) is changing when \( x=2, p=5 \), and \( \frac{d p}{d t}=1.5 \). The rate at which \( x \) is changing is \( \square \) sale(s) per day. (Round to the nearest hundredth as needed.)