A car traveling along a long straight highway at a constant speed passes a rest area. The distance d, in miles, the car must travel to reach the next rest area as a function of the time t, in hours, is modeled by d(t) = 100 - 65t . a) What does the 100 represent in the context of the problem? b) What does the 65 represent in the context of the problem?

100 is the distance between that rest stop and the next 65 is the speed in which the car is traveling

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2