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 relationship between time \( x \) (in minutes) and volume \( y \) (in gallons) is proportional, so the equation is \( y = 10x \) (since the rate is 10 gallons per minute).

Step2: Find two points

• When \( x = 0 \) (time = 0 minutes), \( y = 10(0) = 0 \). So one point is \( (0, 0) \).
• When \( x = 1 \) (time = 1 minute), \( y = 10(1) = 10 \). So another point is \( (1, 10) \).
• We could also use \( x = 2 \), then \( y = 10(2) = 20 \), giving the point \( (2, 20) \), but we just need two points.

Answer:

Two points to draw the line are \((0, 0)\) and \((1, 10)\) (or other valid points like \((2, 20)\), \((5, 50)\) etc., as long as they satisfy \( y = 10x \)).