Question

Ralph jumps off a diving board that is 3 feet above the water level. He descends at 2 feet per second. Write an equation that describes Ralph's depth after x seconds.

a) Which equation represents Ralph's depth after x seconds?

y = 2x - 3
y = -2x - 3
y = 2x + 3
y = -2x + 3

Answer 1

The equation that represents Ralph's depth after x seconds is y = -2x + 3.

Step-by-step explanation:

The equation that represents Ralph's depth after x seconds is y = -2x + 3.

In this equation, 'y' represents Ralph's depth in feet and 'x' represents the number of seconds. The coefficient of 'x' is -2, which means that Ralph descends at a rate of 2 feet per second. The constant term of 3 represents the initial depth of the diving board, which is 3 feet above the water level.