Which equation using x to represent time best represents the floor number of an elevator descending at a steady rate? a. y= -75+2x b. y=-75-2x c. y=75-2x d. y=75+2x

The correct option is c.

Step-by-step explanation:

The slope intercept of the function is

where, m is slope and b is y-intercept of the line.

It is given that the floor number of an elevator descending at a steady rate. It means the value of m must be negative.

In option a and d the value of m is 2 which is a positive number. Therefore option a is and d are incorrect.

y represents the floor number and x represents the time. So, y-intercept represents the number of floor at initial stage.

The number of floor can not be a number, so the value of b must be positive.

In option b the value of b is -75 which is a negative number. Therefore option b is incorrect.

In option c the value of m is -2 which is a negative and b is 75 which is a positive number. Therefore option c is correct.