Use (x-.25) to write expressions for the time the shuttle travels and for the time the staellite travels before they first meet. then write an equation that relates the two expressions
To write expressions for the time the shuttle travels and the time the satellite travels before they first meet, we need to know the speeds at which the shuttle and satellite are traveling.
Let's say the speed of the shuttle is S miles per hour, and the speed of the satellite is T miles per hour.
The distance traveled by an object is equal to its speed multiplied by the time taken to travel that distance.
For the shuttle, the expression for the time it travels before they first meet can be written as:
Time (shuttle) = Distance (shuttle) / Speed (shuttle)
The distance the shuttle travels is equal to the distance covered by both the shuttle and satellite before they meet, which is given by the equation: (x - 0.25) miles. Subtracting 0.25 accounts for the offset at the beginning.
So, the expression for the time the shuttle travels before they first meet is:
Time (shuttle) = (x - 0.25) / S
Similarly, for the satellite, the expression for the time it travels before they first meet can be written as:
Time (satellite) = (x - 0.25) / T
To relate the two expressions, we can set them equal to each other:
(x - 0.25) / S = (x - 0.25) / T
This equation shows that the time the shuttle and satellite travel before they first meet is the same, based on their respective speeds.