Question

On a business trip, Jon must drive from his office to a clients's office, a distance of 216 miles. He sets off a 8 a.m. Suppose that he drives at a constant speed of 66 mph. Find the rule of the function f(t) that gives his distance from the client's office at time t hours (with t = 0 corresponding to 8 a.m.) A. f(t) = 216 + 66t B. f(t) = 216 - 66t C. f(t) = 66 D. f(t) = 216-66 66

Answer 1

Answer:

b.) f(t) = 216 - 66t

Step-by-step explanation:

Since we consider t and time travelled in hours and we are given that the average speed of Jon is 66mph, then we can calculate the distance travelled at any point in time by Jon.

Distance = Speed * time.

Distance = 66 * t = 66t.

Since total distance from clients house 216 miles and distance travelled by Jon at any point in time is 66t, then remaining distance to be covered from the clients house, that is distance between Jon and the clients house becomes:

Distance from client house = 216 - 66t.