Q:

PLEASE ANSWER ASAP!!!!!!You use a garden hose to fill a wading pool. If the water level rises 13 centimeters every 6 minutes and you record the data point of (12,y), what is the value of y? Use slope to justify your answer. The rate of change at which the water level rises is _____ centimeters per minute. So, solving the equation ______ for y gives a y-value equal to _____.

Accepted Solution

A:
The rate of change at which the water level rise is 13/6 cm/minute.The slope of the line is 13/6.The value of y is 23, (12,23).Step-by-step explanation:In the question the water rises 13 cm every 6minutes. Taking x to represent the time in minutes and y to represent the rise in cm then, find the rise y in time x as;6 minutes=13 cm1 minute=?---------------------perform cross multiplication(1*13)/6=13/6Hence in 1 minute, the rise is 13/6 cmThus in 12 minutes, the rise will be ;12 * 13/6 = 2*13= 26 cm(x,y) will be (12,26)Finding the slope of the line using point (6,13) and (x,y)[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\\\m=\frac{13-y}{6-x} \\\\\\m=\frac{13}{6} \\\\\\m=\frac{13}{6}[/tex]The rate of change at which the water level rises equals the slope of the line.This is the justification.Learn More