The formula to approximate the hieght (h) of a male, in inches, is shown below, where t is the length of the tibia bone, in inches.
h=2.4t+32.2
Paul's height is 69.4 inches. What is the approximate length, in inches, of paul's tibia bone?
69.4 = 2.4t + 32.2
Solve for t.
2.4t=69.4+32.2
No.
In this step, you need to subtract 32.2 from each side of the equation.
You still haven't found the length of the tibia bone.
is it 37.2
Good heavens! Paul's tibia is over 3 feet long! He must be a giant, yet he's less than 6 feet tall.
What did you miss in this problem?
To find the approximate length of Paul's tibia bone, we can rearrange the formula for height and solve for t.
The given formula is:
h = 2.4t + 32.2
We know that Paul's height (h) is 69.4 inches. Let's substitute this value into the formula:
69.4 = 2.4t + 32.2
Next, we can isolate the variable t by subtracting 32.2 from both sides of the equation:
69.4 - 32.2 = 2.4t
Simplifying, we have:
37.2 = 2.4t
Now, we can solve for t by dividing both sides of the equation by 2.4:
t = 37.2 ÷ 2.4
Evaluating the expression, we get:
t ≈ 15.5
Therefore, the approximate length of Paul's tibia bone is 15.5 inches.