Answer:
Step-by-step explanation:
Let the regresssion line be linear because of a constant amount of money coming in. Let y be the total amount of money in the box and x the weeks of adding to the box:
We know that he puts $20 in the box from his birthday and $4 every week for x weeks. Therefore the total amount of money will be:
Answer: Infinite
Odd numbers are of the form 2n+1, where n is an integer
Solving 2n+1 > 19 leads to n > 9. There are infinitely many integers that make the inequality n > 9 to be true.
Maybe one of the easier ways to work this is to write the equation of the line through the points you know, then use that to find the point you don't know. The 2-point formula for a line is ...
... y = (y2 -y1)/(x2 -x1)·(x -x1) +y1
Filling in (x1, y1) = (3, 213) and (x2, y2) = (8, 568), you get ...
... y = (568 -213)/(8 -3)·(x -3) +213
... y = 71(x -3) +213 . . . . . . simplified a bit
Now, for x=5, the value of <em>a</em> is ...
... a = 71(5 -3) +213 = 142 +213 = 355
The value of <em>a</em> that results in a constant rate of change is 355.
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The equation can actually be simplified further to ...
... y = 71x
x' = 24/5
The rule for variable to variable' is multiply by 6/5, shown as y to y'