A table will generally give you an output value for each of several input values. To find the average rate of change over some range of inputs, divide the difference between output values by the difference between input values for the corresponding inputs.
For example, consider the table
input .... output
.. 1 ............ 3
.. 3 ........... -5
The average rate of change between these input values is
... (change in output)/(change in input) = (-5 -3)/(3 - 1) = -8/2 = -4.
1st Avenue would be more difficult because it’s rise and run is for every one foot forward it is 3 feet up. Meanwhile avenue 16th would start at (3,1) and the rise and run would be for every 3 feet it would go up 1 foot.
Answer:
341
Step-by-step explanation:
The number of people who know the art of quilting in each successive generation is
1, 4, 16, …
These numbers represent a geometric sequence where each term has the form
aₙ = a₁rⁿ⁻¹
In your sequence, a₁ = 1 and r = 4.
Then, the formula for your sequence is
aₙ = 4ⁿ⁻¹
Sum over five generations
The formula for the sum of the first n terms of a geometric series is
Sum = a₁[(1 - rⁿ)/(1 - r)]
Sum = 1[(1 - 4⁵)/(1 - 4)
= (1 - 1024)/(-3)
= -1023/-3
= 341
If the process continues for five generations, 341 people will know the art of quilting.
Answer:
y = 49 1/3
Step-by-step explanation:
1/8y-2/3=5.5
1/8y = 5.5 + 2/3
multiply both sides by 8:
y = 8(5.5 + 2/3) = 44 + 16/3 = 44 + 5 1/3 = 49 1/3
