Final answer:
Real-life functions can be seen in budgeting, where a linear function predicts balance after spending, in trip planning where distance over time is calculated, and estimating smartphone battery life to manage usage and charging.
Step-by-step explanation:
Examples of real-life functions can be found in various scenarios. One such scenario involves budgeting, where the function relates your spending habits to your remaining balance. Let's say you start with a monthly budget of $1000. If we define the function as B(x) = 1000 - x, where B represents the remaining balance and x is the amount spent, we can predict your balance after any purchase. This is an example of a linear function that helps you manage finances.
Another real-life example is calculating the distance traveled over time at a constant speed. The function D(t) = s * t, where D is distance, t is time, and s is speed, is applied in trip planning and transportation logistics. This is a direct application of a linear function where the slope represents the speed.
Lastly, consider a smartphone's battery life where the function describes the remaining battery percentage over time. If P(t) represents the percentage at time t, and you know the rate of depletion, you can estimate when the phone will need to be recharged. This function allows us to plan battery usage and charging intervals effectively.