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Answer:
a) Equation for Snow Dome Ski Resort:
Equation for Mt. Winterpark Ski Resort:
b) After 19 hours, Snow dome will have more snow.
Step-by-step explanation:
Given that:
Initial snow at Snow Dome Ski Resort = 65 inches
Snowing rate at Snow Dome Ski Resort = 1 inch per hour
Initial snow at Mt. Winterpark Ski Resort = 74 inches
Initial snow at Mt. Winterpark Ski Resort = inch per hour
a) To write equations that show amount of snow at each resort.
Let the time in hours be represented by .
Snow increased in hours by snowing at Snow Dome Ski Resort =
inches per hour
Snow increased in hours by snowing at Mt. Winterpark Ski Resort =
inches per hour
Equation for Snow Dome Ski Resort:
Equation for Mt. Winterpark Ski Resort:
b) Time at which Snow Dome has more snow.
Using the above equations, we can write the following inequality:
After 18 hours have passed, they will have equal amount of snow.
After 19 hours, Snow dome will have more snow.