Solve for b b(x)=40.50-0.05x
1 answer:
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Answer:
Step-by-step explanation:
We have given,
and initial condition
Now,
Rearranging the variables, we get
Applying integration both sides, we get
⇒
⇒
Putting the initial condition (i.e., ), we get
⇒
⇒
∴
We have,
now putting the value of in above equation, we get
⇒
⇒
The line of the best fit is y = 2100x -4166040 and the number of bottles is, 86460 which expect to sell in 2025
<h3>What is the line of best fit?</h3>A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
We have data shown in the table:
To find the line of best fit, we will calculate its slope and y-intercept.
We know the slope is given by:
where n = 5
After calculating, we get,
and
m = 105000/50 = 2100
For y-intercept b:
After calculating:
b = -4166040
The line becomes:
y = 2100x -4166040
If x = 2025 put this value in the line, we get:
y = 86460
Thus, the line of the best fit is y = 2100x -4166040 and the number of bottles is, 86460 which expect to sell in 2025
Learn more about the line of best fit here:
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