The population of people in a town increases by 100 each year. Which equation represents the situation? Let [tex]$p$[/tex] represent the amount the population has increased and [tex]$t$[/tex] represent the number of years.
A. [tex]$t=100 p$[/tex]
B. [tex]$p=100 t$[/tex]
C. [tex]$t=100+p$[/tex]
D. [tex]$p=100+t$[/tex]
Answer (1)
The population increases by 100 each year.
Let p represent the amount the population has increased and t represent the number of years.
The equation representing the situation is p = 100 t .
The final answer is p = 100 t .
Explanation
Understanding the Problem The problem states that the population of a town increases by 100 people each year. We need to find an equation that represents this situation, where p represents the amount the population has increased and t represents the number of years.
Setting up the Equation Since the population increases by 100 people every year, the total increase in population ( p ) is equal to 100 times the number of years ( t ). This can be written as:
The Equation p = 100 \t
Final Answer Therefore, the equation that represents the situation is p = 100 t .
Examples
Imagine you are tracking the growth of a tree that grows 2 inches every month. If you want to know how much the tree has grown after a certain number of months, you can use a similar equation. Let g be the growth in inches and m be the number of months. The equation would be g = 2 m . This helps you predict the tree's height over time, which is useful for gardening or landscaping.
