alex12everett
13.01.2020 •
Mathematics
The cost to ski is $24 times the number of hours you ski
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Ответ:
what the hours to the problem
Ответ:
(a)
Snow Dome Ski: y = 65 + t
Mt. Winterpark: y = 74 + ½t
(b) Hours greater than 18
Step-by-step explanation:
Given
Snow Dome Ski
Base Snow = 65in
Rate = 1 in per hour
Mt. Winterpark
Base Snow = 74 in
Rate = ½ in per hour
Solving (a): Equation for both
To determine the amount of snow (y) at time (t) for any of the two, we make use of:
y = Base Snow + Rate * t
For Snow Dome Ski:
y = 65 + 1 * t
y = 65 + t
For Mt. Winterpark
y = 74 + ½ * t
y = 74 + ½t
Solving (b): When snow dome will have more snow.
To solve this, we set the following inequality
Snow Dome Ski > Mt. Winterpark
This gives:
65 + t > 74 + ½t
Collect Like Terms
t - ½t > 74 - 65
½t > 9
Multiply both sides by 2
t > 18
This implies that the snow at Snow Dome Ski will be more than the snow at Mt. Winterpark after 18 hours.
After 18 hours means, hours greater than 18 which could be 19, 20, 21