Question

Car X travels 186 miles in 3 hours.

a. Write the equation of the line that describes the relationship between distance and time. Use x for the time in hours and y for the distance in miles.

b. What is the graph that represents the relationship between distance and time for Car X? Explain.

Options:
a) The equation describes the relationship.
b) The equation does not describe the relationship.

Answer 1

The equation of the line that describes the relationship between distance and time for Car X is y = 62x + b. The graph representing this relationship is a straight line with a positive slope of 62.

Step-by-step explanation:

a. The equation of the line that describes the relationship between distance and time for Car X can be expressed as y = mx + b, where y represents the distance in miles, x represents the time in hours, m represents the slope of the line, and b represents the y-intercept. In this case, Car X travels 186 miles in 3 hours, so we can determine the slope as m = 186/3 = 62. The equation becomes y = 62x + b.

b. The graph that represents the relationship between distance and time for Car X is a straight line with a positive slope of 62. The x-axis represents time in hours, and the y-axis represents distance in miles. The line starts at the y-intercept, which depends on the specific initial conditions of the car's position.