Question

A swimming pool is being filled with a hose. The water depth (in cm) in the

pool, hours after the hose is turned on is given by
= 46 + 60
a) Find the slope and -intercept of the graph of this equation
b) What do the slope and -intercept represent?

Answer 1

Slope 46 cm per hours

Intercept 60 cm.

Explanation:

The swimming pool is being filled with a hose.

The water depth y (in cm) in the pool, x hours after the hose is turned on is given by y = 46x + 60.

a) The equation is in the slope-intercept form where the slope is 46 cm per hour. and the y-intercept is 60 cm.

b) Now, the slope is basically the rate of increase of the depth (in cm) of water in the pool with respect to time in hours after the hose is opened.

That is given by 46 cm per hour.

And the y-intercept 60 cm means that before the hose was opened, there was some water of depth 60 cm in the pool. (Answer)