Post your example of a real world function here--from Exercise 1.8.
A piece of art is a function of the strokes of the painter's brush.
In the same way that a mathematical function has one output for every input, a given brushstroke in a piece of art has only one output.
When shopping, the amount of t-shirts you can purchase is directly influenced by how much money you have. In this case, the input would be a certain amount of money and the output would be a specific number of t-shirts.
The amount of rainfall per year is a function of the a rivers water levels; the more rainfall the higher the levels, the less rainfall the lower the levels. Here, the amount of rainfall would be the input and the rivers water level would be in the output.
A runner, the more the runner exerts themselves the faster they will run.
Input: Exertion
Output: Running faster
an example of a real world function would driving faster to reach your destination sooner. the faster you drive the quicker you reach your destination
A tree or plant's growth over time.
Input: Time
Output: Tree or Plant height
There's only 1 output of height for each instance of time, even if the plant wilts or gets chopped down.
An example would be words and pages of a book. The more words there are, the more pages there will be.
An example of an everyday "real life" function would be that depending on the weather makes a person decide what type of clothing and the amount of clothing they will wear. For example, if it is hot outside you wear less clothing; like a t-shirt and shorts. However, if it is cold, you will wear more clothing like jeans, long sleeve shirt, leggings, and a coat or even more.
Practicing lines for a play: The more you practice the more lines you will know for the play.
Input: Practice
Output: More lines known
An example of a real life function would be studying preparing for a test.
For example if you study more you will be more likely to do well, but study less and you many not do quite as well.
Input would be study time.
Output would be test results/grade.
The more time spent as a painter, the more paintings created. F(t) where the function is number of paintings painted and t is time.
An example of a real life function would be curling weights to achieve bigger biceps. The more times you curl a dumbbell, the more stress you put on your biceps thus causing them to grow.
input: curl dumbbells
output: increase in size of the bicep muscle
Example of real world function: climbing a mountain.
The higher an individual ascends a mountain, the less oxygen in the atmosphere. Therefore, the more difficult it is for them to breathe.
Input: increase in altitude
Output: increase in difficulty breathing
An example of a real-world function could be a car coming to a stop. The more momentum, the more space the driver would need in order to slow.
One example from a sports related view is basketball. The input of basketball player with the amount of time spent practicing shooting free throws. The output becomes a higher percentage of shots made. The player practices more therefore he performs better because he put in more time.
One example of a real world function is the amount of hours one works. The input of hours an individual works directly influences the output of income the individual makes. The more hours worked, the more money made.
An example of a real world function could be the amount of gas you put in your car and how far you can then drive after. (depending on the cars gas mileage)
An everyday function could be the relationship between the amount of food one consumes in relation to the health/size of their body.
when going to the movie and you buy one ticket to the movie which cost $10 and then i wanted to buy a soda and they cost $2 but could not decide how many I wanted and that will increase the price the more bottles of sodas I buy.
A real world function would be a vending machine. Where you input money and the output is the specific snack you chose.
A real world example would be a car. You input gas and the output you get is the car moving.