the temperature at Kent is -7 degrees and increasing at 2.5 degrees per hour. The temperatire at row is 19 degrees decreasing at 4 degrees per hour. When will they be the same? and what temperatore?
let t = hours running time.
-7+2.5t = temperature at Kent at time t.
19-4.0t = temperature at row at time t.
Set them equal to each other and solve for t which will be the number of hours for the two temperatures to be the same.
Then use t and either equation to determine the final temperature.
To find when the temperatures at Kent and Row will be the same, we can set the equations for the temperatures at each location equal to each other:
-7 + 2.5t = 19 - 4t
Now, let's solve this equation for t:
-7 + 2.5t = 19 - 4t
Combining like terms, we get:
6.5t = 26
Dividing both sides by 6.5, we find:
t = 4
Therefore, it will take 4 hours for the temperatures at Kent and Row to be the same.
To determine the final temperature when they are the same, we can substitute t=4 back into either equation. Let's use the equation for the temperature at Kent:
temperature at Kent = -7 + 2.5t
temperature at Kent = -7 + 2.5(4)
temperature at Kent = -7 + 10
temperature at Kent = 3
So, when the temperatures at Kent and Row are the same, the temperature will be 3 degrees.