Answer:
arithmetic
Step-by-step explanation:
The points fall on a straight line. They won't do that for a geometric sequence.
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Normally the terms of either sort of sequence are numbered with counting numbers: 1, 2, 3, .... Your x-values are negative, so are obviously not term numbers of a sequence. The differences of x-values are 1, and the differences of y-values are 2.5, so we know the x- and y-values are linearly related. That relationship can be expressed in point-slope form by ...
y = 2.5(x +1) +12.5
which can be simplified to
y = 2.5x +15
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The arithmetic sequence with first term 17.5 and common difference 2.5 would be described by this same equation.
Answer:
n=4
Step-by-step explanation:
step 1: Simplify both sides of the equation.
4n−1=6n+8−8n+15
4n+−1=6n+8+−8n+15
4n−1=(6n+−8n)+(8+15)(Combine Like Terms)
4n−1=−2n+23
4n−1=−2n+23
Step 2: Add 2n to both sides.
4n−1+2n=−2n+23+2n
6n−1=23
Step 3: Add 1 to both sides.
6n−1+1=23+1
6n=24
Step 4: Divide both sides by 6.
6n/6=24/6
Using the distance formula:
Distance = √((x2-x1)^2 + (y2-y1)^2)
Distance = √((5-2)^2 + (-8 - -4)^2
Distance = √(3^2 + -4^2)
Distance = √(9 +16)
Distance = √25
Distance = 5
Answer:
$800.00
Step-by-step explanation:
3 people for 10 days costs $600. $600/3 = $200 for each person to stay 10 days. Then, 200/10 = $20 per person, per day.
5 people staying 8 days would be $20 per person multiplied by 8 days, so 20 x 5 x 8 which is 800