Answer with all calculations

Part a) The acceleration in the first 20 seconds is

Part b) The distance between the two stops is 945 meters

Part c) The average speed  during the journey is 5.9 m/sec

Step-by-step explanation:

Part a)

Let

x ---> the time in seconds

y ---> the velocity in m/sec

a ---> acceleration in m/ sec^2

we know that

The acceleration is equal to divide the velocity by the time

so

The acceleration is the slope of the linear equation of the graph

For the first 20 seconds

take the points

(0,0) and (20,7)

The formula to calculate the slope between two points is equal to

substitute

therefore

The acceleration in the first 20 seconds is

Part b) we know that

Looking at the graph

The two stops of the bus are the points (0,0) and (160,0)

The stops of the bus represent the x-intercepts of the linear equation

Values of x when the value of y is equal to zero

In the context of the problem

Values of the time when the velocity of the bus is equal to zero

To find out the distance, we need to determine the area of the graph

(because the distance is equal to multiply the velocity by the time)

The area of the graph in the interval [0,160] is equal to the area of two right  triangles plus the area of rectangle

so

Part c) we know that

The average speed is equal to divide the total distance by the total time

so

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

well my understanding of this question is they want you to use the y=14.1x -2.3 and put the coordinates they gave you onto the line segment of   y=14.1x -2.3

step-by-step explanation: