Answer:
- geometric sequence with initial value 20 and common ratio 1/2
- average rate of change on [1, 3] = -7.5
Step-by-step explanation:
(a) The given points have sequential values of x and values of y that are each 1/2 the value before. The common ratio tells us the sequence is a geometric sequence.
(b) The first given point is (2, 10), so extrapolating backward, we determine the previous point to be ...
... (2-1, 10/(1/2)) = (1, 20)
Thus, we have enough information to determine the average slope between n=1 and n=3.
... (difference in y)/(difference in n) = (5 -20)/(3 -1) = -15/2 = -7.5
let length of one piece = x
length of other piece = 236-x
one piece is three times the length of the other
x=3(236-x)
x=708-3x
4x=708
x=177
so first piece is 177 inches long and second piece is (236-177)= 59 inches long
B. (-2,1)
By checking the x coordinates, I saw there was two -2, but the output was different, so one of them had to be taken out to make it a function.
Function: Every input must have one out must.
Determine whether the value is from a discrete or continuous data set. Number of coins in a jar is 78 number of coins in a jar is 78
Answer: Number of coins in a jar is from a discrete data set. Because the given variable is countable in a finite amount of time.
If a variable can take on any value between two specified values, it is called a continuous variable; otherwise, it is called a discrete variable.