The height of a hot air balloon is directly proportional to the time in seconds since it left the ground. After 35 seconds, the balloon is 245 feet in the air. what is k
We can set up a proportion to solve for k:
k = height / time
Using the given values, we get:
k = 245 feet / 35 seconds
k = 7 feet/second
To find the constant of proportionality (k), we can use the given information that the height of the hot air balloon is directly proportional to the time in seconds since it left the ground.
We can set up a proportion using the given data:
Height / Time = k
Let's substitute the given values into the equation:
245 feet / 35 seconds = k
Simplifying the equation:
7 feet / 1 second = k
Therefore, k is equal to 7.
To find the constant of proportionality, k, in this scenario, we can use the formula:
Height of the balloon = k * Time in seconds.
We are given that after 35 seconds, the balloon is 245 feet in the air. Therefore, we can plug these values into the equation:
245 = k * 35.
To find k, we can rearrange the equation to isolate k:
k = 245 / 35.
Dividing 245 by 35, we get:
k = 7.
So, the constant of proportionality in this case is 7.