و 4. Your friend is measuring the distance of a plane as it lands where height, H(t) is in metres and time, t, in seconds. The function can be represented by H(t) = 32+ 1.5, t > 0. a. Determine the following, to two decimal places. t2 i. the average rate of change for the interval 1 ≤ t≤ 5 ii. the approximate instantaneous rate of change of height at exactly 1 minute. b. What does the sign of your answer to part a), subpart ii), indicate about the plane?

bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item. b.What is the cost of making 25 items? c.Suppose the maximum cost allowed is SI500. What are the domain and range of the cost function, C(x) ?

A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 10.7 gallons. What is the average rate of flow of the gasoline into the gas tank?