Question

an employee at an arcade determined he could use the equation y=50-2x to predict the number of tokens a guest has,y, based on the number of minutes, x, the guest has been at the arcade. what is the meaning of the slope of the equation.

Answer 1

The rate at which how many tokens a person loses per minute.

Explanation:

If we move around the terms in the equation to fit standard form, it will be easier to determine the slope.

y = 50 - 2x

y = -2x + 50

We know that the slope is the coefficient of the x variable, so m = -2 or
`(-2)/(1)`.

Since the slope is negative, we know that the line will go down as x increases. Since the slope is multiplied by the number of minutes x, we know that the slope represents the typical rate at which a guest spends tokens per minute. In simpler words, how many tokens a person loses every minute.