Question

46:37 A car is traveling on a highway. The distance (in miles) from its destination and the time (in hours) is given by the equation d=420−65t What is the d-intercept of the line?

a. (0, 420)
b. (420, 0)
c. (0, 65)
d. (65, 0)

Answer 1

The d-intercept of the equation d=420-65t is the point (0, 420), which represents the car's initial distance from its destination.

Step-by-step explanation:

The question asks for the d-intercept of the linear equation d=420−65t, which represents the distance (in miles) from the destination of a car traveling on a highway as a function of time (in hours). The d-intercept occurs when the independent variable (in this case, time t) is zero. Substituting t = 0 into the equation gives d = 420. Therefore, the d-intercept is the point where the car's initial distance from its destination is 420 miles, which is represented by the coordinates (0, 420).