Answer:
Based on the results it is expected that the slope of the tangent line at the point (0.5,10) is -20.
Step-by-step explanation:
To see that compute, the slopes for the given points as follows:
1. For we have:
2. For we have:
3. For we have:
4. For we have:
So, we observe that the slope of the tangent line at is close to the value -20.
The graph shown below is useful to see the secant lines that approximates the tangent line.
Answer:
a)
And we want to find a function:
We can find the slope with this formula:
And then we can use the point to find the intercept
and we got:
So then the linear function is given by:
b) For this case we have that m = 475 so we can replace into the function to find the cost like this:
And for the other case we have a cost of 155 and we want to find the number of miles associated so we can do this:
Step-by-step explanation:
For this case we can define the following notation:
m= represent the miles travelled
C= represent the cost
Part a
For this case we have the following two points given:
And we want to find a function:
We can find the slope with this formula:
And then we can use the point to find the intercept
and we got:
So then the linear function is given by:
Part b
For this case we have that m = 475 so we can replace into the function to find the cost like this:
And for the other case we have a cost of 155 and we want to find the number of miles associated so we can do this:
Answer:
11/2
Step-by-step explanation: