Question

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 minus 65 t. What is the d-intercept of the line? (Remember the slope-intercept form is y = m x + b) a. (0, 420) b. (420, 0) c. (0, 65) d. (65, 0)

Answer 1

The equation d = 420 - 65t represents a line in slope-intercept form (y = mx + b), where d is the dependent variable (y), t is the independent variable (x), the slope (m) is -65, and the y-intercept (b) is 420.

To find the d-intercept (the point where the line crosses the y-axis), we can substitute t = 0 into the equation and solve for d:

d = 420 - 65(0)
d = 420

Therefore, the d-intercept of the line is (0, 420).

So the answer is (a) (0, 420).