Answer:
Chantal and Trisha will have both traveled 105 miles in 20 minutes.
Step-by-step explanation:
is distance in miles,
is time in hours.
The two equations are:
![y = \frac{20}{x} + 45](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B20%7D%7Bx%7D%20%2B%2045)
![y = \frac{35}{x}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B35%7D%7Bx%7D)
Set them equal to each other and solve for x:
![\frac{35}{x} = \frac{20}{x} + 45](https://tex.z-dn.net/?f=%5Cfrac%7B35%7D%7Bx%7D%20%3D%20%5Cfrac%7B20%7D%7Bx%7D%20%2B%2045)
![\frac{35}{x} - \frac{20}{x} = 45](https://tex.z-dn.net/?f=%5Cfrac%7B35%7D%7Bx%7D%20-%20%5Cfrac%7B20%7D%7Bx%7D%20%3D%2045)
![\frac{35-20}{x} = 45](https://tex.z-dn.net/?f=%5Cfrac%7B35-20%7D%7Bx%7D%20%3D%2045)
![\frac{15}{x} = 45](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7Bx%7D%20%3D%2045)
![x = \frac{15}{45} = \frac{1}{3} hours = 20 minutes](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B15%7D%7B45%7D%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20hours%20%3D%2020%20minutes)
Plug that back into the equations to confirm this
gives the same
:
![y = \frac{20}{1/3} + 45 = 105 miles](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B20%7D%7B1%2F3%7D%20%2B%2045%20%3D%20105%20miles)
![y = \frac{35}{1/3} = 105 miles](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B35%7D%7B1%2F3%7D%20%3D%20105%20miles)
Answer:
Step-by-step explanation:
Can I have the rest of the question(picture)?
I can’t see the question (picture is blurry)
Answer:
The graph has an asymptote at y = 0 and is increasing as x approaches positive infinity.
Step-by-step explanation:
:)