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Domain X axis Range Y axis
Answer:
9
Step-by-step explanation:
Answer:
![y = -\frac{220}{3}x + 520](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B220%7D%7B3%7Dx%20%2B%20520)
Step-by-step explanation:
Given
![x = time](https://tex.z-dn.net/?f=x%20%3D%20time)
![y = distance](https://tex.z-dn.net/?f=y%20%3D%20distance)
For the first 3 hours, we have:
![(x_1,y_1) = (3,300)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%283%2C300%29)
At 6 hours, we have:
![(x_2,y_2) = (6,80)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%20%3D%20%286%2C80%29)
Required
Express y as a function of x
First, calculate the slope:
![m = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
This gives:
![m = \frac{80 - 300}{6 - 3}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B80%20-%20300%7D%7B6%20-%203%7D)
![m = \frac{-220}{3}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-220%7D%7B3%7D)
![m = -\frac{220}{3}](https://tex.z-dn.net/?f=m%20%3D%20-%5Cfrac%7B220%7D%7B3%7D)
The equation is then calculated using:
![y = m(x - x_1) + y_1](https://tex.z-dn.net/?f=y%20%3D%20m%28x%20-%20x_1%29%20%2B%20y_1)
Where:
![m = -\frac{220}{3}](https://tex.z-dn.net/?f=m%20%3D%20-%5Cfrac%7B220%7D%7B3%7D)
![(x_1,y_1) = (3,300)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%283%2C300%29)
![y = -\frac{220}{3}(x - 3) + 300](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B220%7D%7B3%7D%28x%20-%203%29%20%2B%20300)
Open bracket
![y = -\frac{220}{3}x + \frac{220}{3}*3 + 300](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B220%7D%7B3%7Dx%20%2B%20%5Cfrac%7B220%7D%7B3%7D%2A3%20%2B%20300)
![y = -\frac{220}{3}x + 220 + 300](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B220%7D%7B3%7Dx%20%2B%20220%20%2B%20300)
![y = -\frac{220}{3}x + 520](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B220%7D%7B3%7Dx%20%2B%20520)
A because if you do the math correctly you’ll know
Answer:
The interest is $1500 and the amount is $6500.
Step-by-step explanation:
I=P⋅i⋅t, where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.
P = $5000, i = 10% and t = 3 years
5000×0.1×3=1500
5000+1500=6500