Question

Andrew is going to drive from his house to City A without stopping. An equation that determines Andrew's distance from City A tt hours after leaving his house is D, equals, 240, minus, 30, t, .D=240−30t. What is the slope of the equation and what is its interpretation in the context of the problem?

Answer 1

The slope of the equation D = 240 - 30t is -30, which represents the speed at which Andrew is driving towards City A, specifically 30 miles per hour.

Step-by-step explanation:

The equation given in the question is D = 240 - 30t, which determines Andrew's distance from City A t hours after leaving his house. The slope of this equation can be found by looking at the coefficient of t, which in this case is -30.

The slope of the equation represents the rate at which Andrew is approaching the city, or the speed at which he is traveling towards City A. Since the slope is negative, it indicates that the distance to City A is decreasing over time; this is logical given that Andrew is driving towards the city. The value of the slope, -30, means that Andrew is driving at a constant speed of 30 miles per hour towards City A.