Just because 2 things are related doesn't mean they will both be changed when one thing happens. For example steak and candy, just because they are both food doesn't mean they taste the same or interact with each other.
Answer:
-144m^11n^3
Step-by-step explanation:
-(6m^3)^2 x 4m^5n
-36m^6n^2 x 4m^5n
Answer:
-144m^11n^3
Notice how points T and Z are vertically aligned, or vertically lined up. This is where the graph fails the vertical line test.
The input x = 2 leads to the outputs y = 3 and y = 5 (which are the y coordinates of points Z and T in that order).
A function is only possible when any given input leads to <u>exactly one</u> output only. It would be like saying "the conversion function from Celsius to Fahrenheit has 0 degrees C convert to both 32 degrees F and 50 degrees F at the same time". But such a statement makes no sense and it's not useful. So this is one example of why having one output makes sense for a function.
In short, we need one output for any given input. But the input x = 2 leads to more than one output. That's why we don't have a function.
The answer is:
B. The cost for a group of friends to see a movie compared to the number of friends.
We can tell that this is most likely to have a constant rate of change because of what we already know about movie prices.
Movie prices are fixed, therefore, no matter how many friends you bring, the total price will always go up by the same amount.
For example:
Let's say a movie ticket costs $5 and you brought 3 friends with you. Since there are 4 people in total, you'd have to pay $20 for the tickets (5x4=20). Just as you're about to pay, Sally shows up. Now you have to pay for 5 people in total. How much do you need to pay now?
You will now need to pay $25 (5x5=25) for all of the tickets. Even though you now have 5 people in the group, you still only have to pay $5 for each ticket.
This is an example of a constant rate of change.
Answer:
3
Step-by-step explanation:
Therefore: