Answer:
The equation is
![10x+35 =5x+40](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mnfnj1dtpnprcmkeg46hito4ivazkbtl8b.png)
Explanation:
Let
x --> the charge per hour to ski
y ---> the total charge for ski
we know that
Bunny Hill Ski Resort
----> equation A
Black Diamond Ski Resort
----> equation B
equate equation A and equation B
![10x+35=5x+40](https://img.qammunity.org/2020/formulas/mathematics/middle-school/kzmcf21rabxv7ewinxvkydruyrxz287vp1.png)
solve for x
![10x-5x=40-35](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qqmiu6oxhbxzq0pvhh84pia6acfufiw7wm.png)
![5x=5](https://img.qammunity.org/2020/formulas/mathematics/high-school/90bd85suh4ry94mmum367ptgguikqcazpg.png)
![x=1\ hour](https://img.qammunity.org/2020/formulas/mathematics/middle-school/e0rwu6v46hjbzwsvnyt1su55oiwrlqp8z1.png)
Find the value of y
![y=10(1)+35=\$45](https://img.qammunity.org/2020/formulas/mathematics/middle-school/fry306acvc949cl7xs4nbtr3oyubn4ndjb.png)
therefore
At point (1,45) the cost of both ski resort is the same