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2 answers:
Composing functions means to use the output of the inner function as the input for the outer function.
In this case, the inner function is g(x)=8x, which means that Aurora sells 8 tickets per hour.
So, if we give 8x (number of tickets sold) as input to the function f(x)=0.5x, we'll get
Since the function f tells us how much Aurora gains per ticket, f(g(x)) basically means:
Aurora gains 0.5 dollars per ticket, and she sells 8 ticket per hour, so she gains 4 dollars per hour.
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Given:
The conversions from meter to inches and inches to meter are shown in part A of model 2.
The conversions from liters to quarts and quarts to liters are shown in part B of model 2.
Required:
To find the relationship between the conversion factors used in Part A of Model 2.
To find the relationship in the the conversion factors used in Part B of Model 2.
Explanation:
We have given that 1 meter = 39.4 inches.
Thus, from the calculations shown in part A of model 2, we can conclude that the quantity from meters to inches is converted as:
Thus, 1.5 m =59 inches.
Also, the quantity from inches to meters is converted as:
Hence, 59 in = 1.5 m.
Next,
We have 1 L = 1.06 qt.
Thus, from the calculations shown in part B of model 2, we can conclude that the quantity from quarts to liters is converted as:
Thus, 186 quarts = 175 L.
Also, the quantity from liters to quarts is converted as:
Hence, 175 L = 186 qt.
Final Answer:
We conclude that:
While converting from meters to inches, we multiply the quantity 1.5 by the equality quantity given.
While converting from incehs to meters, we divide the quantity 59 by the equality quantity given.
Also, While converting from quarts to liters, we divide the quntity 186 by the equality quantity given.
While converting from liters to quarts, we multiply the quntity 175 by the equality quantity given.