In the previous section, you examined ways that you can write equations to describe a given situation. You can also apply that skill to do the opposite: write a situation to match a given equation.

Consider the following equation:

y = 2.50x + 18

This equation could describe any of the following situations.

Mrs. Carmona has $18 in her cash register in the lunch line. Each lunch costs $2.50. After x students have purchased lunches, there is a total of y dollars in Mrs. Carmona’s cash register.
Manuel’s scouting troop has $18 in their activity account. They sell raffle tickets for $2.50 each. After selling x number of tickets, there will be a total of y dollars in the activity account.
A plant is 18 inches tall. Each week, it grows an additional 2.5 inches. After x weeks, the plant will be y inches tall.

Interactive exercise. Assistance may be required. In the interactive below, each equation has three situations that accompany the equation along the row. At least one of those situations cannot be described using the given equation. Identify the situation(s) that cannot be modeled using the given equation by clicking the box beneath the situation.