If an average-size man with a parachute jumps from an airplane, he will fall 12.5(0.2t - 1) + 19t feet in t seconds. How long will it take him to fall 134 feet?
2.5
To find the time it will take for the man to fall 134 feet, we need to solve the equation:
12.5(0.2t - 1) + 19t = 134
Let's break down the steps to solve this equation:
Step 1: Distribute the coefficient (12.5) to the terms inside the parentheses:
12.5(0.2t) - 12.5(1) + 19t = 134
Step 2: Simplify both sides of the equation:
2.5t - 12.5 + 19t = 134
Step 3: Combine like terms:
21.5t - 12.5 = 134
Step 4: Add 12.5 to both sides of the equation:
21.5t = 134 + 12.5
Step 5: Simplify:
21.5t = 146.5
Step 6: Divide both sides of the equation by 21.5 to isolate t:
t = 146.5 / 21.5
Step 7: Use a calculator to find the final answer:
t ≈ 6.81
Therefore, it will take approximately 6.81 seconds for the man to fall 134 feet.
135 = 12.5(0.2t - 1) + 19t
Solve for t