The table below represents the velocity of a car as a function of time:
time (hour) x velocity (miles/hours) y
0 50
1  52
2 54
3 56
part a: what is the y-intercept of the function, and what does this tell you about the car? (4 points)
part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points)
part c: what would be the domain of the function if the velocity of the car was measured until it reached 60 miles/hour and the car does not change motion? (2 points)

Part A: The y-intercept of the function is 50. It means the initial velocity is 50 miles/hours.

Part B: The average rate of change of the function represented by the table between x = 1 to x = 3 hours is 2. It means the velocity increases by 2 miles per hour.

Part C: If the velocity of the car is 60 miles/hour, then the domain is 5.

Step-by-step explanation:

Part A:

From the given table it is clear that at x=0 the value of y is 50.

It means the y-intercept of the function is 50. It represents that the initial velocity is 50 miles/hours.

Part B:

From the given table it is clear that at x=1 the value of y is 52 and at x=3 the value of y is 56. It means the graph passes through two points (1,52) and (3,56).

The average rate of change of the function is

The average rate of change of the function represented by the table between x = 1 to x = 3 hours is 2. It means the velocity increases by 2 miles per hour.

Part C:

The slope intercept of a line is

Where, m is slope and b is y-intercept.

The slope of the function is 2 and y-intercept is 50, therefore the equation of function is

Put y=60 in the above equation, to find the domain at velocity 60 miles/hours.

Subtract 50 from both the sides.

Divide both sides by 2.

Therefore the domain is 5 if velocity is 60 miles/hours.

b

step-by-step explanation:

the word superfluous means unnecessary

27 + 13x + 15 = (x + 5)( =

step-by-step explanation:

27 + 13x + 15 = (x + 5)( = 27 + 13x + 15 = (x + 5)( = 27 + 13x + 15 = (x + 5)( =