MATH SOLVE

4 months ago

Q:
# Bunny Hill Ski Resort charges $35 for ski rental and $10 an hour to ski. Black Diamond Ski Resort charges $40 for ski rental and $5 an hour to ski. Create an equation to determine at what point the cost of both ski slopes is the same. 10x − 35 = 5x − 40 10x + 35 = 5x + 40 10x + 40 = 5x + 35 10x − 40 = 5x − 35

Accepted Solution

A:

Answer:The equation is [tex]10x+35 =5x+40[/tex]Step-by-step explanation:Letx --> the charge per hour to ski y ---> the total charge for skiwe know thatBunny Hill Ski Resort[tex]y=10x+35[/tex]----> equation ABlack Diamond Ski Resort [tex]y=5x+40[/tex] ----> equation Bequate equation A and equation B[tex]10x+35=5x+40[/tex]solve for x[tex]10x-5x=40-35[/tex][tex]5x=5[/tex][tex]x=1\ hour[/tex]Find the value of y[tex]y=10(1)+35=\$45[/tex]thereforeAt point (1,45) the cost of both ski resort is the same