Given f(x) = 3x - 1 and g(x) = 2x-3, for which value of x does g(x) = f(2)? i e ls
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Answer:
Price of the adult ticket is $13
Price of the child ticket is $3
Step-by-step explanation:
Lets x be the adult ticket and y be the child ticket.
Given:
School sold 14 adult tickets and 14 child tickets for a total of $224, so the first equation is.
-------------(1)
And the school took in $44 on the second day by selling 2 adult tickets and 6 child tickets, so the second equation is.
---------------(2)
We find the price of an adult ticket and the price of a child ticket by solving above system of equation.
Now, equation 2 multiplied by 7.
---------(3)
Now, equation 1 subtracted by equation 3.
-______________
14x is cancelled in both equations, so we get the equation.
y = 3
Now, we substitute y = 3 in equation 2.
x = 13
Therefore, the price of the adult ticket is $13 and the price of the child ticket is $3.
Firstly, we'll find y = f⁻¹(x):
So:
So: