Question

Consider a linear function y = ax modeling a vehicle traveling at a constant speed. For this model, y is the distance ofthe vehicle from its starting point and x is the time the vehicle has been traveling. Which of the following is the best Interpretation of a vertical change of 10 units up?A)The transformed function models the same vehicle but measures distance from a location 10 miles from the starting point.B)The transformed function models the same vehicle but measures the time from 10 hours before the vehicle started moving.C)The transformed function models the same vehicle but the vehicle is traveling 10 mph faster.D)The transformed function models the vehicle 10 cars ahead of the original vehicle.

Answer 1

Given the function, y = ax

Given that y is the distance of the vehicle from its starting point, it means that the initial position of y is zero. A vertical change of 10 units up is a movement along the y axis. Therefore, the interpretation would be

A)The transformed function models the same vehicle but measures distance from a location 10 miles from the starting point.