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 - 65t ). what is the practical meaning of the d-intercept?
a. initially the car is 355 miles from its destination.
b. initially the car is 420 miles from its destination.
c. initially the car is 65 miles from its destination.
d. initially the car is 485 miles from its destination.

please select the best answer from the choices provided

○ a
○ b
○ c
○ d

Explanation:

To find the \( d \)-intercept, we set \( t = 0 \) (initial time, when the car starts traveling) in the equation \( d = 420 - 65t \). Substituting \( t = 0 \), we get \( d = 420 - 65(0) = 420 \). This means initially (at \( t = 0 \) hours), the car is 420 miles from its destination.

Answer:

B. Initially the car is 420 miles from its destination.