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)
How can a car go 50 mph in zero hours?
The table below represents the displacement of a horse from its barn as a function of time:
hours)
x Displacement
from barn
(feet)
y
0 8
1 58
2 108
3 158
4 208
Part A: What is the y-intercept of the function, and what does this tell you about the horse? (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 horse continued to walk at this rate until it traveled 508 feet from the barn? (2 points)
yuh stink at math bro.
Deftones-change
Part A: To find the y-intercept of the function, we need to look at the table and find the value of y when x is equal to 0. From the given table, when x is 0, y is 50. Therefore, the y-intercept of the function is 50.
The y-intercept tells us the initial velocity of the car, which is the velocity when time (x) is 0. In this case, the car starts with a velocity of 50 miles per hour.
Part B: To calculate the average rate of change between x = 1 to x = 3 hours, we need to find the change in velocity (Δy) divided by the change in time (Δx).
Δy = (Velocity at x = 3) - (Velocity at x = 1)
= 56 - 52
= 4
Δx = (Time at x = 3) - (Time at x = 1)
= 3 - 1
= 2
Average rate of change = Δy / Δx = 4 / 2 = 2
The average rate of change of the function between x = 1 to x = 3 hours is 2 miles per hour. This means that, on average, the car's velocity increased by 2 miles per hour per hour during this time interval.
Part C: The domain of the function represents the possible values of x, which in this case is time. The table shows the velocity of the car until it reached 60 miles per hour. Since the car does not change motion beyond this point, we can say that the domain of the function would be all values of x (time) up until the car reached a velocity of 60 miles per hour.