Answer:
The first and third options are the examples of exponential functions.
Step-by-step explanation:
When a quantity is compounded after a certain interval of time at a certain rate, then we can assume that the situation can be represented by an exponential function.
In the first option: An event organizer finds each year's attendance for the past five years is about
of previous year's attendance.
So, here the total attendance is compounding every year by a factor
of previous year's attendance.
Again, in the third case: The total population is increasing by about 7.5% each year.
Hence, the population is compounded every year by 7.5% of the previous year's population.
Therefore, the first and third options are examples of exponential functions. (Answer)
In math, an isometry is a congruent transformation in which the distance (or length) and the angle is preserved or remains the same even after the transformation.
The transformation can be translation, rotation, reflection, etc.
Let us not use this definition of isometry to answer our question, one at a time.
(I) In here, as we can see the distances 10 and 5 and the angle 43 degrees has been preserved. So, <u>this is an isometry.</u>
(II) In here, distances have been halved, so this is<u> not an isometry</u>, even though the angles have been preserved.
(III) In here, the corresponding distances and the angles have been preserved. So, <u>this is an isometry.</u>
I think the answer is 225
Step-by-step explanation:
the function of increasing for -2.5 < x < 2.5
or written as :
x > -2.5
x < 2.5