Answer:
The equation for the total number of strings ordered is
X+Y=80
The equation based on the price of each type of string and the total value of the order is
4.50 x +1.50 y = 225
Step-by-step explanation:
The main thing you want to ask yourself is "What is the difference between the two graphs?"
As we can see, the graphs look identical in every way except that g(x) is lower than f(x).
This means that the graph is shifted down a certain amount.
If we look at the y-intercepts of the two functions, we see that f(x) has a y-intercept of 1, and g(x) has a y-intercept of -1.
This means that f(x) is two units lower than g(x).
The y-intercept of a function can be changed by adding or subtracting a number to the original function (in this case 2^{x}).
Because the graph f(x) is 2 lower than the graph of g(x), we can find g(x) by subtracting 2 from f(x).
Therefore, g(x) = 2^{x} - 2.
Your answer is E. $25.
First let under 12 = u, over 12 = o, and adults = a.
We can now write the equations:
2u + 3a + 3o = 174
4u + 2a = 122
a + o = 46
Because we know that a + o = 46, and 3a + 3o is in the first equation, we can multiply 46 by 3 to get what 3a + 3o equals. This makes 138.
Now we can substitute 138 into the first equation to get 2u + 138 = 174
2u = 36
u = 18
Now that we know what u equals, we can substitute it in to the second equation to get:
4(18) + 2a = 122
72 + 2a = 122
2a = 50
a = $25
I hope this helps! Let me know if you have any questions :)
