Question

Ivanna is driving to Miami. Let D represent her distance from Miami (in miles). Let t represent the time she has been driving (in hours). Suppose that D and t are related by the equation D=kt. Answer the questions below:

a) What was Ivanna's distance from Miami when she began her drive?

b) What is the change in Ivanna's distance from Miami for each hour she drives?

Answer 1

a) Ivanna's distance from Miami when she began her drive is zero. b) The change in Ivanna's distance from Miami for each hour she drives is equal to the constant of proportionality, k.

Step-by-step explanation:

a) When Ivanna began her drive, her distance from Miami would have been zero. This is because the equation D=kt assumes that D represents the distance from a starting point, and t represents the time elapsed since the start. So, at the beginning of the drive (t=0), D=0.

b) The change in Ivanna's distance from Miami for each hour she drives can be found by substituting t=1 into the equation D=kt. Since k is the constant of proportionality, the change in distance for each hour would simply be k. So, the change in distance for each hour she drives is equal to k.