Question

Tina and Chris are taking a road trip. They have traveled 50 miles so far. They are about to go onto a major highway with a posted speed of 65 mph. Which function represents the total distance they will travel (d, in miles) depending on the time (t, in hours) that they drive on the highway? ___________.

Options:

Option 1: d=50t+65
Option 2: d=65t+50
Option 3: d=50t×65
Option 4: d=50+65t

Answer 1

The function that represents the total distance Tina and Chris will travel on the highway is d = 65t + 50. In this equation, 'd' represents the total distance in miles and 't' represents the time in hours that they drive on the highway.

Step-by-step explanation:

The function that represents the total distance Tina and Chris will travel on the highway is d = 65t + 50. In this equation, 'd' represents the total distance in miles and 't' represents the time in hours that they drive on the highway.

To understand this equation, let's break it down. The constant term, 50, represents the distance they have already traveled before getting on the major highway. The coefficient of 't', 65, represents the speed in miles per hour at which they are driving on the highway. Multiplying the speed by the time gives us the distance traveled on the highway, and adding the distance they have already traveled gives us the total distance traveled.