Select the correct answer from each drop-down menu.
Let [tex]$d(t)$[/tex] be the total number of miles Joanna has cycled, and let [tex]$t$[/tex] represent the number of hours before stopping for a break during her ride.
[tex]$d(t)=12 t+20$[/tex]
Answer (1)
The equation d ( t ) = 12 t + 20 relates the total distance Joanna has cycled, d ( t ) , to the number of hours, t , before she stops for a break.
The equation is a linear function where the slope represents the rate of cycling (12 miles per hour) and the y-intercept represents the initial distance (20 miles).
Without a specific question, the equation can be used to calculate the distance for any given time t .
The equation represents a linear relationship between time and distance, which can be visualized on a graph.
Explanation
Analyzing the Given Information The problem states that d ( t ) represents the total number of miles Joanna has cycled, and t represents the number of hours before she stops for a break. The equation relating these two variables is given as d ( t ) = 12 t + 20 . The question is incomplete, as it does not specify what needs to be determined or calculated. Without a specific question or objective, we can only analyze the given equation.
Examples
This equation can be used to predict how far Joanna will have cycled after a certain amount of time. For example, if Joanna cycles for 3 hours, we can calculate the total distance she covers before taking a break. Understanding linear equations like this helps in planning trips, managing resources, and making predictions based on known rates and initial conditions.
