Answer:
Remember that:
Speed = distance/time.
Then we can calculate the average speed in any segment,
Let's make a model where the average speed at t = t0 can be calculated as:
AS(t0) = (y(b) - y(a))/(b - a)
Where b is the next value of t0, and a is the previous value of t0. This is because t0 is the middle point in this segment.
Then:
if t0 = 100s
AS(100s) = (400ft - 0ft)/(200s - 0s) = 2ft/s
if t0 = 200s
AS(200s) = (1360ft - 50ft)/(300s - 100s) = 6.55 ft/s
if t0 = 300s
AS(300s) = (3200ft - 400ft)/(400s - 200s) = 14ft/s
if t0 = 400s
AS(400s) = (6250s - 1360s)/(500s - 300s) = 24.45 ft/s
So for the given options, t = 400s is the one where the velocity seems to be the biggest.
And this has a lot of sense, because while the distance between the values of time is constant (is always 100 seconds) we can see that the difference between consecutive values of y(t) is increasing.
Then we can conclude that the rocket is accelerating upwards, then as larger is the value of t, bigger will be the average velocity at that point.
<h3>
Answer: D. g(x) = f(x)+4</h3>
The graph shows f(x) to have a y intercept at -1, which is where the diagonal line crosses the y axis. We want the y intercept to move to 3. So we must add 4 to the old y intercept to get the new y intercept.
We do this with every single point on f(x) to get g(x) = f(x)+4. This shifts the graph up 4 units.
Answer:
18:162
Step-by-step explanation:
1:9
1+9=10
(1×180)÷10= 18
(9×180)÷10=162
For this case what you should see is that for the interval [9, 11] the behavior of the function is almost linear.
Therefore, we can find the average rate of change as follows:
m = (y2-y1) / (x2-x1)
m = (11-6) / (11-9)
m = (5) / (2)
m = 5/2
Answer:
the average rate of speed over the interval [9, 11] is:
D. 5 / 2
Answer:
So that means length of the bike is approx 5.7 rulers.
Step-by-step explanation:
the question says to estimate how many 12-inch rulers will be about the same length as a bike. In other words we have to measure the length of bike by in terms of ruler like 3 ruler length or 5 rular length etc.
Type of bike is not mentioned so i'm going to use bicyle.
From internet I found that approx lenght of a bike ( bicycle) is = 68 inches.
Given that 1 ruler = 12 inches
So number of rulers that can fit into 68 inches can be found by dividing 68 by 12
68/12 = 5.7
