Suppose that the height (in centimeters) of a candle is a linear function of
the amount of time (in hours) it has been burning.
Let x be the amount of time in hours
Let y be the heoght of a candle in centimeters
The two points are then as (9,24.5) and (23,17.5).
Now plug in x=21, we get
Thus the height of the candle after 21 hours is 18.5 centimeters.
Answer:
Dilation followed by Translation.
Step-by-step explanation:
We have the function .
The new transformed function is
Now, the transformation applied to f(x) to obtain g(x) are:
1. Dilation - it is the transformation that changes the size/shape of the figure. It is generally of the form kf(x) where k is constant.
Since, we are dilating the given function by 2 units, the new dilated function becomes .
2. Translation - it is the transformation that shifts the figure in any direction. When the function is shifted vertically, the general form becomes f(x)+k.
As, we see that the new dilated function is shifted 3 units upwards, the final translated function becomes .
Hence, the transformations applied to obtain g(x) from f(x) are Dilation followed by Translation.
Answer: $16,200
Step-by-step explanation:
rent.
Raise of 2.5% (0.025)/year.
5 years.
Take the rent (14,400) and add 2.5% (0.025) of it (14400) for five (5) years.