This is an arithmetic sequence because we are adding the same amount each time. In this case, we are adding -4 to each term to get the next term
17 + (-4) = 13
13 + (-4) = 9
9 + (-4) = 5
and so on. The starting term is 
The common difference is 
The nth term of the arithmetic sequence can be found by this formula
For instance, if n = 2, then,
which matches up with the second term listed.
(2,60)(4,240)......t = x and d(t) = y
average rate of change (slope) is (y2 - y1) / (x2 - x1)
slope = (240 - 60) / (4 - 2) = 180/2 = 90 m/s
It represents the average distance traveled by the object between 2 seconds and 4 seconds
The best answer would be C
Answer: chicken $8, duck $5
Explanation:
x - the cost of a chicken
y - the cost of a duck
he sold 50 chickens and 30 ducks for $550: 50x + 30y = 550
he sold 44 chickens and 36 ducks for $532: 44x + 36y = 532
50x + 30y = 550 divide by 10
44x + 36y = 550 divide by 4
______________
50x/10 + 30y/10 = 550/10
44x/4 + 36y/4 = 532/4
______________
5x + 3y = 55
Multiply by (-3)
11x + 9y = 133
______________
5x * (-3) + 3y * (-3) = 55 * (-3)
11x + 9y = 133
______________
-15x - 9y = -165
11x + 9y = 133
______________
Sum up:
-4x + 0y = -32
-4x = -32
x = -32/-4
x = 8
Since 5x + 3y = 55 and x = 8, then:
5 * 8 + 3y = 55
40 + 3y = 55
3y = 55 - 40
3y = 15
y = 15/3
y = 5
