Answer:
Extrapolation
Step-by-step explanation:
Given the data:
Distance (mi): 2 2.5 3 3.5 4
Time (min): 23 28 34 34 40
Line of best fit for the data:
y = 8x + 8
Making use of the best fit equation to make prediction of time is an example of extrapolation. This is because our result will be based in the fact that further prediction of the time it takes for any predicted distance will follow the same trend. Hence, it is important to note that a best fit line or regression model uses extrapolation techniques to make predictions.
Hence,
For the above ; estimate for X =5 will be ;
y = 8(5) + 8
y = 40 + 8
y = 48 minutes
Answer:
F(a) =2a^2+4a+5
Step-by-step explanation:
just put x= a
Answer:
Step-by-step explanation:
In order to find the equation for these graphs, we have to note what forms a line.
The slope: Which is just the rise of the line over the run - how much it increases in y over how much it increases in x.
The y-intercept: Where does the graph intersect the y-axis?
Fortunately, there's a type of formula commonly used that includes both of these - slope-intercept form. It is written in the form , where m is the slope and b is the y-intercept.
<em>For number 1</em><em>:</em>
We can see that the graph intersects the y-axis at 1. So the y-intercept is 1, aka b = 1.
We can also see that for every 1 decrease in y, x increases by 2. <em>This is where the two dots come in useful</em>.<em> </em> This means our change in y is -1 and our change in x is 2. Since slope is rise over run, we can divide it.
Now that we know the slope and the y-intercept, we can plug these values into .
<em>For Number 2:</em>
Same logic applies. The graph intersects the y-axis at 0, so b = 0, aka we don't need to include that term in the end equation.
We can see that when x increases by 2, y increases by 3. Since the slope is rise over run, the slope is .
Hope this helped!
Y=3x+4 the number in the middle with the x is always the slope and the number in the end is always the y intercept to graph it you wanna find (0,4) on the graph. 3x = 3/1 on the graph from the y intercept you wanna go up 3 which would be (0,7) and go right one which would be (1,7) so the answer is (0,4) (1,7)
The answer is 24. To get from one term to the next, you have to find the difference. To get from 52 to 45, you minus 7. It is the same with the other terms. So 31 - 7 = 24