Question

You use a garden hose to fill a wading pool. If the water level rises 17 centimeters every 4 minutes, and you record the data point of (8, y), what is the value of y? Use slope to justify your answer.

a) y = 34
b) y = 68
c) y = 68/4
d) y = 34/4

Answer 1

Using the given slope or rate of water level rise (17 cm per 4 minutes), we calculate the water level rise after 8 minutes by multiplying the slope by time, resulting in a water level of 34 centimeters, which makes the correct answer y = 34.

Step-by-step explanation:

The question involves determining the water level rise in a wading pool using the rate of increase and the concept of slope. The water level rises 17 centimeters every 4 minutes, which gives us a slope (rate of change) of 17/4 cm per minute. The data point (8, y) represents 8 minutes of time. To find the value of y, we use the slope:

y = slope × time

y = (17/4 cm/min) × (8 min)

y = (17/4) × 8

y = 17 × 2

y = 34

Therefore, the value of y, which represents the water level after 8 minutes, is 34 centimeters. The correct answer is a) y = 34.