Final answer:
To calculate the time it takes for a weather balloon to reach 11,000 feet from 240 feet, use the equation 11,000 = 240 + (65t), solve for t by subtracting the initial altitude and then dividing by the rate of ascent.
Step-by-step explanation:
To find the time t it will take for a weather balloon to reach an altitude of 11,000 feet, starting from 240 feet above sea level and rising at a constant rate of 65 feet per minute, we can use the following linear equation:
Final altitude = Initial altitude + (Rate of ascent × Time)
Let's plug in the given values:
11,000 = 240 + (65t)
Now, to solve for t, we'll subtract the initial altitude from both sides of the equation:
11,000 - 240 = 65t
Then, we divide both sides by the rate of ascent to find t:
10,760 ÷ 65 = t
After performing the division, we will find the value of t, which is the time in minutes the balloon takes to reach 11,000 feet.