Question

tessa is throwing a pool party to kick off the summer. her pool is empty, so she starts filling it with water from a garden hose. the pool is filling up at a rate of 10 gallons per minute. there is a proportional relationship between the time tessa has been filling up the pool (in minutes), x, and the volume of water in the pool (in gallons), y. graph this relationship. select two points to draw a line.

Explanation:

Step1: Identify the proportional relationship

The pool fills at 10 gallons per minute, so the equation is \( y = 10x \), where \( x \) is time (minutes) and \( y \) is gallons.

Step2: Find two points

• When \( x = 0 \) (0 minutes), \( y = 10(0) = 0 \), so the point is \( (0, 0) \).
• When \( x = 1 \) (1 minute), \( y = 10(1) = 10 \), so the point is \( (1, 10) \). These points lie on the line representing the proportional relationship.

Answer:

Two points to draw the line are \((0, 0)\) and \((1, 10)\) (or other valid points like \((2, 20)\), \((3, 30)\) etc., based on the graph's scale, but \((0,0)\) and \((1,10)\) are fundamental for the proportional line through the origin with slope 10).