QUESTION IMAGE
Question
the amount amanda charges for a repair that takes
hours is
dollars.
(b) describe the meaning of ( a ( 9 ) ) in this context.
part 2 of 2
progress ( 1 / 2 )
a(9)=135
correct answer
In the context of a function \(A(t)\) where \(t\) represents time (in hours) and \(A(t)\) represents the amount charged (in dollars), the notation \(A(9) = 135\) follows the general rule of function interpretation. For a function \(y = f(x)\), when \(x\) takes a particular value \(a\), \(f(a)\) gives the corresponding value of \(y\). Here, \(t\) is the input variable (hours) and \(A(t)\) is the output variable (dollars). So, substituting \(t = 9\) into the function \(A(t)\) results in \(A(9)=135\), which means that when the repair takes 9 hours, the amount Amanda charges is 135 dollars.
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The first blank is filled with \(9\) (hours) and the second blank is filled with \(135\) (dollars).