the proportional relationship between the number of sweaters a clothing store buys and sells, s, and the profit, in dollars and cents, that it makes off those sweaters, can be represented by the equation p = 27 s. What is the constant of proportionality from the number of sweaters to the total profit, in dollars and cents?

In the equation \( p = 27s \), the variable \( p \) represents the profit, and \( s \) represents the number of sweaters bought and sold. The constant of proportionality is the coefficient of \( s \) in this equation.

In this case, the constant of proportionality is 27. This means that for each sweater sold, the store makes a profit of $27.

Therefore, the constant of proportionality from the number of sweaters to the total profit is 27 dollars.

The proportional relationship between the number of hours Lamonte works, h, and his total earnings in dollars and cents, e, can be represented by the equation e = 22.5 h. How much does he make in dollars and cents per hour?

In the equation \( e = 22.5h \), where \( e \) represents the total earnings and \( h \) represents the number of hours worked, the coefficient of \( h \) (which is 22.5) indicates Lamonte's earnings per hour.

Therefore, Lamonte makes $22.50 per hour.

The proportional relationship between the gallons of gasoline used by Sofia, g, and the total number of miles she drives, m, can be represented by the equation m = 33.2 g. What is the constant of proportionality between the number of miles driven and the number of gallons used?

In the equation \( m = 33.2g \), where \( m \) represents the total number of miles driven and \( g \) represents the gallons of gasoline used, the constant of proportionality is the coefficient of \( g \), which is 33.2.

This means that for every gallon of gasoline used, Sofia drives 33.2 miles.

Therefore, the constant of proportionality between the number of miles driven and the number of gallons used is 33.2 miles per gallon.