Answer:
Check the image. I have solved every angle. hope this helps. pls give brainliest if possible.
Answer:
The rate at which how many tokens a person loses per minute.
Step-by-step explanation:
If we move around the terms in the equation to fit standard form, it will be easier to determine the slope.
y = 50 - 2x
y = -2x + 50
We know that the slope is the coefficient of the x variable, so m = -2 or
.
Since the slope is negative, we know that the line will go down as x increases. Since the slope is multiplied by the number of minutes x, we know that the slope represents the typical rate at which a guest spends tokens per minute. In simpler words, how many tokens a person loses every minute.
These are two separate problems: in the first we will have to substitute in a new value for x into the original equation and in the second we will manipulate the preexisting equation for f(x).
To begin, we will sub in f(x/3). To do this, we will substitute each variable x in the equation (in this case there is only one) with x/3, and then simplify the resulting equation.
f(x) = 6x - 18
f(x/3) = 6(x/3) - 18
To simplify, we should distribute the 6 on the right side of the equation.
f(x/3) = 6x/3 - 18
Now, we can divide the first term on the right side to finalize our simplification.
f(x/3) = 2x -18
Secondly, we are asked to find f(x)/3. To do this, we will take our original value for f(x), and then simplify divide that entire function by 3.
f(x) = 6x - 18
f(x)/3 = (6x-18)/3
This means that we must divide each term of the binomial by 3, so we are really computing
f(x)/3 = 6x/3 - 18/3
We can simplify by dividing both of the terms.
f(x)/3 = 2x - 6
Therefore, your answer is that f(x/3) = 2x - 18, but f(x)/3 = 2x - 6. It is important to recognize that these are two similar, yet different, answers.
Hope this helps!