Answer:
Step-by-step explanation:
This is arithmetic since adding 4 to each term gets us to the next term in the sequence. That means that the common difference, d, is 4. The general arithmetic explicit formula is
and using the info given when a1 = 3 and d = 4:
or, if you want to make it easier to deal with:
(I just distributed through the parenthesis and then combined like terms. As you can see, arithmetic sequences are linear).
The height of water increases by 2 inches per minute option first "The height of the water increases 2 inches per minute" is correct.
<h3>What is the slope?</h3>The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
We have given a table:
Time height
2 8
4 12
6 16
8 20
10 24
The slope of the line = (12-8)/(4-2) = 4/2 = 2
The value of the slope is positive we can say, the height of water increases as time passes.
Thus, the height of water increases by 2 inches per minute option first "The height of the water increases 2 inches per minute" is correct.
Learn more about the slope here:
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