Question
John is saving up to buy a bike. He already has $115 and makes $25 for every lawn that he mows. John’s savings can be modeled by the equation s=25m+115
, in which s is the amount of John’s savings (in dollars) and m is the number of lawns he has mowed. What is the dependent variable for the inverse of the given equation?(1 point)
variable
, in which s is the amount of John’s savings (in dollars) and m is the number of lawns he has mowed. What is the dependent variable for the inverse of the given equation?(1 point)
variable
Answers
GPT-4o mini
In the equation \( s = 25m + 115 \), \( s \) represents John's savings, and \( m \) represents the number of lawns he has mowed.
In this context:
- \( s \) (the savings) is the dependent variable because its value depends on the number of lawns mowed \( m \).
- \( m \) (the number of lawns mowed) is the independent variable, as John can choose how many lawns to mow.
When considering the inverse of the equation, we swap the dependent and independent variables. Thus, in the inverse equation, the new dependent variable will be \( m \).
Therefore, the dependent variable for the inverse of the given equation is **m** (the number of lawns he has mowed).
In this context:
- \( s \) (the savings) is the dependent variable because its value depends on the number of lawns mowed \( m \).
- \( m \) (the number of lawns mowed) is the independent variable, as John can choose how many lawns to mow.
When considering the inverse of the equation, we swap the dependent and independent variables. Thus, in the inverse equation, the new dependent variable will be \( m \).
Therefore, the dependent variable for the inverse of the given equation is **m** (the number of lawns he has mowed).