Question

Bradley is returning home from a place that is 2 kilometers away. The function y = 2,000 − 90x represents Bradley's distance from home in meters, y, in relation to the number of minutes he walks, x. Which statements about this function are true?

Answer 1

The given equation represents Bradley's distance from home in meters based on the number of minutes he walks. The function is linear with a slope of -90 and a y-intercept of 2,000.

Step-by-step explanation:

The given equation is y = 2,000 - 90x, where y represents Bradley's distance from home in meters and x represents the number of minutes he walks. This equation is in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is -90, which means that for every minute Bradley walks, his distance from home decreases by 90 meters. The y-intercept is 2,000, which represents Bradley's initial distance from home before he starts walking.

To find the statements that are true about this function, we need to analyze the equation.

The function is linear because it can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

The slope of the function is -90, which means that Bradley's distance from home decreases by 90 meters for every minute he walks.

The y-intercept of the function is 2,000, which represents Bradley's initial distance from home before he starts walking.

Answer 2

In an algebraic equation, you should have at least 2 variables: the independent and the dependent. The independent variable in this case, is the parameter that cannot be controlled - time. This is expressed in minutes using the variable x. The dependent variable is the parameter you want to measure - the distance expressed using the variable y. Since the problem states a parameter of distance in terms of 2 kilometers, y=2. Therefore, I think the choices would be about the amount of minutes it would take for Bradley to cover this distance. Assuming this is the case, then the answer would be:

2 = 2000 - 90x
90x = 2000-2
90x = 1998
x = 1998/90
x = 22.3 minutes

It would take 22.3 minutes for Bradley to cover the 2 kilometers so that he could get home.