Question
Let’s break this down. We can write the equation for a function by setting the dependent variable equal to the rule that describes what happens to the independent variable. So, start by recording the dependent variable on the left of the equation.
input
t, the time in hours
rule
Input Output Arrow
4t
Input Output Arrow
output
d, the distance in miles
= ?
input
t, the time in hours
rule
Input Output Arrow
4t
Input Output Arrow
output
d, the distance in miles
= ?
Answers
GPT-4o mini
To express the relationship between the dependent variable \( d \) (distance in miles) and the independent variable \( t \) (time in hours), we can use the information provided about the rule.
From your input and rule, we have:
- The rule states that the output is equal to \( 4t \). This means the distance \( d \) is a function of time \( t \).
We can write the equation as follows:
\[
d = 4t
\]
This equation indicates that the distance \( d \) in miles is equal to 4 times the time \( t \) in hours.
From your input and rule, we have:
- The rule states that the output is equal to \( 4t \). This means the distance \( d \) is a function of time \( t \).
We can write the equation as follows:
\[
d = 4t
\]
This equation indicates that the distance \( d \) in miles is equal to 4 times the time \( t \) in hours.