Answer:
A I think
Step-by-step explanation:
{(9)(9/256)}^3/2=
(81/256)^3/2=
0.031676352/2=
0.015838176
<span>The statement that best summarizes Jonathon’s exercise
routine is: ‘Jonathon does 2 push-ups for every 15 crunches.’ The graph shows
that the independent variable, located on the x-axis, is the number of
crunches. On the other hand, the dependent variable, located on the y-axis, is
the number of push-ups. Thus, Jonathon does the push-ups after he had done the
crunches. </span>
Given:
Growth rate = 30% decrease
To find:
The growth factor associated with the given growth rate.
Solution:
The general exponential function is:
![y=a(1+r)^x](https://tex.z-dn.net/?f=y%3Da%281%2Br%29%5Ex)
![y=a(b)^x](https://tex.z-dn.net/?f=y%3Da%28b%29%5Ex)
Where, a is the initial value, r is the growth rate in decimal and
is the growth factor.
It is given that the growth rate is 30% decrease. So,
![r=-30\%](https://tex.z-dn.net/?f=r%3D-30%5C%25)
![r=-\dfrac{30}{100}](https://tex.z-dn.net/?f=r%3D-%5Cdfrac%7B30%7D%7B100%7D)
![r=-0.3](https://tex.z-dn.net/?f=r%3D-0.3)
Now,
![b=1+r](https://tex.z-dn.net/?f=b%3D1%2Br)
![b=1+(-0.3)](https://tex.z-dn.net/?f=b%3D1%2B%28-0.3%29)
![b=1-0.3](https://tex.z-dn.net/?f=b%3D1-0.3)
![b=0.7](https://tex.z-dn.net/?f=b%3D0.7)
Therefore, the growth factor is 0.7.