Respuesta :
Answer:
7 minutes
Step-by-step explanation:
- start with formula
g(x) = x^4 - 3x^2 + 4x - 5
- substitute x with number of stops (2)
g(2) = 2^4 - 3(2^2) + 4(2) - 5
- simplify using p.e.m.d.a.s: start with exponents
g(2) = 16 - 3(4) + 4(2) - 5
- multiply
g(2) = 16 - 12 + 8 - 5
- subtract/add
16 - 12 = 4
4 + 8 = 12
12 - 5 = 7
input: 2
output: 7
ordered pair: (2,7)
By modeled function, the time taken to reach the school is 7 minutes.
What is modeled function ?
A function which depicts the variation of a given dependent parameter represented by the variable in the function is known as a modeled function. For modeled function, we input the value of the dependent parameter in place of the given variable and the solution of function gives us the result of dependency.
How to calculate the time taken to reach the school ?
Given that the time it takes to get to school, measured in minutes, is modeled using the function g(x) = [tex]x^{4} - 3x^{2} + 4x - 5[/tex] , where x is the number of stops the bus makes.
Also said that the bus makes 2 stops after we board.
Thus the dependent parameter is stop which is represented by the variable x in the modeled function g(x) and the solution of g(x) gives us the time period. We will get the time period by putting x = 2 in the modeled function.
Putting x = 2 in g(x), we get -
⇒ g(x) = [tex]2^{4} - 3*2^{2} + 4*2 - 5[/tex]
⇒ g(x) = 16 - 12 + 8 - 5
∴ g(x) = 7
Thus the time period is 7 units.
Therefore, by modeled function, the time taken to reach the school is 7 minutes.
To learn more about modeled function, refer -
https://brainly.com/question/11938014
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