For the scatter plot on homework:
a) The relationship is that the test score will increase, if the time spent on homework increases.
b) The function is y=8x+40, and what we need to see is what the score will be if someone puts in 3 hours of homework, x=3 in this because it means the time spent on homework:
y=8(3)+40
y=24+40
y=64
c) The score would be 40% if no time was spent doing homework.
For the scatter plot on the rides:
a) y = -7/5x + 17.8
b) Anika worked 17.8 hours on Day 0
c) Decreased by 7/5 in a day.
Hope this helps, have a BLESSED AND WONDERFUL DAY! As well as a great Superbowl Weekend! :-)
- Cutiepatutie ☺❀❤
Answer:
![\frac{ds}{dt} = 39.586 km/h](https://tex.z-dn.net/?f=%5Cfrac%7Bds%7D%7Bdt%7D%20%3D%2039.586%20km%2Fh)
Step-by-step explanation:
let distance between farmhouse and road is 2 km
From diagram given
p is the distance between road and past the intersection of highway
By using Pythagoras theorem
![s^2 = 2^2 +p^2](https://tex.z-dn.net/?f=s%5E2%20%3D%202%5E2%20%2Bp%5E2)
differentiate wrt t
we get
![\frac{d}{dt} s^2 = \frac{d}{dt} (4 + p^2)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdt%7D%20s%5E2%20%3D%20%5Cfrac%7Bd%7D%7Bdt%7D%20%284%20%2B%20p%5E2%29)
![2s \frac{ds}{dt} =2p \frac{dp}{dt}](https://tex.z-dn.net/?f=2s%20%5Cfrac%7Bds%7D%7Bdt%7D%20%20%3D2p%20%5Cfrac%7Bdp%7D%7Bdt%7D%20)
![\frac{ds}{dt} = \frac{p}{s}\frac{dp}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7Bds%7D%7Bdt%7D%20%3D%20%5Cfrac%7Bp%7D%7Bs%7D%5Cfrac%7Bdp%7D%7Bdt%7D)
![\frac{ds}{dt} = \frac{p}{\sqrt{p^2 +4}} \frac{dp}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7Bds%7D%7Bdt%7D%20%3D%20%5Cfrac%7Bp%7D%7B%5Csqrt%7Bp%5E2%20%2B4%7D%7D%20%5Cfrac%7Bdp%7D%7Bdt%7D)
putting p = 3.7 km
![\frac{ds}{dt} = \frac{3.7}{\sqrt{3.7^2 +4}} 45](https://tex.z-dn.net/?f=%5Cfrac%7Bds%7D%7Bdt%7D%20%3D%20%5Cfrac%7B3.7%7D%7B%5Csqrt%7B3.7%5E2%20%2B4%7D%7D%2045)
![\frac{ds}{dt} = 39.586 km/h](https://tex.z-dn.net/?f=%5Cfrac%7Bds%7D%7Bdt%7D%20%3D%2039.586%20km%2Fh)
I might be wrong cause I don’t removed this from 4 years ago but it should be 36.4 also plz mark brainlyiest
Answer: the answer is C
Step-by-step explanation:
The change in growth was 14 - 0.5 = 13.5 inches.
Since it is over the course of 5 weeks, divide 13.5 by 5.
13.5/5 = 2.7
2.7 = 270%
The rate of change was 270%. Hope this helps!