Question

Rose traveled 5.1 miles from his house to the entrance of the freeway when he turns his cruise control on to 66 mph.

Define a function g to determine Jose's distance from his house, d=g(t), in terms of the number of hours, t, since he entered the freeway and turned his cruise control on.

Answer 1

The function g(t) = 66t + 5.1 represents Jose's distance from his house in terms of the hours he drives on the freeway at a speed of 66 mph, with an initial distance of 5.1 miles to the freeway entrance.

Step-by-step explanation:

The question asks us to define a function g(t) that describes the distance, d, Jose is from his house based on the number of hours, t, he has been driving on the freeway at a constant speed. Since Jose is moving at a steady speed of 66 mph, the function g(t) will be a linear function in the form d = rt + c, where r is the rate (speed) and c is the initial or starting distance traveled. In this case, r is 66 (the speed on the freeway) and c is 5.1 (the initial distance to the freeway entrance).

So, the function representing Jose's distance from his house is g(t) = 66t + 5.1. This function means that for each hour, t, that Jose drives on the freeway, he travels an additional 66 miles from his house, plus the initial 5.1 miles to the entrance of the freeway.

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