Question

The science club is selling magazine subscriptions at \(\$ 15\) each. The club wants to raise \(\$ 315\) for science equipment. Assign labels and write an algebraic model based on your verbal model.

Short answer

The algebraic model based on the verbal model is \( 15x = 315 \), where \( x \) represents the number of magazine subscriptions sold.

Step-by-step solution

Assign Variables

Assign a variable to describe the number of magazine subscriptions. Let \( x \) be the number of subscriptions.

Define Relationship

The total amount raised is product of the price per subscription, which is $15, and the number of subscriptions sold. Hence we can write this relation as \( 15x \).

Formulate Algebraic Model

The club plans to raise $315. This is equal to the total amount raised. Hence, the algebraic model is \( 15x = 315 \).