Answer:
A: (1, 8.5)(2, 8)(3, 7.5)(4, 7)(5, 6.5)(6, 6)
B: Yes
C: Yes
Step-by-step explanation:
A: I obtained the ordered pairs by subtracting .5 inches from 9 inches for each second.
B: Yes because for every input there is only one output. For example after 2 seconds, the candle is 8 inches (and there is no other input). A function must only have one output for every input.
C: The relation would still be a function because for every input there would be one out put. Some new ordered pairs would be (1, 8.55) (2, 8.1) (3, 7.65) (4, 7.2) (5, 6.75) (6, 6.3)
Using translation concepts, it is found that the function that would meet Daniel's needs is:
g(x) = -cf(x) - b, c > 1, b > 0
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent function is f(x).
The transformations are as follows:
- Vertical stretch, hence the function has to be multiplied by a constant c that is greater than 1, that is,
.
- Reflection over the x-axis, hence the function is multiplied by -1, that is,
.
- Shift down, hence a constant b is subtracted from the graph, that is,
.
You can learn more about translation concepts at brainly.com/question/21197885
B. When the sky is cloudy it rains.
I hope this helps:)
5/6k=1/6
We multiply it by 6 to remove the fraction part
5k=1
Divide both sides by 5
k=1/5