Find the equation x = at² + b that fits the following data. A) x = −4t² + 60 B) x = 5t² + 60 C) x = −2t² + 60 D) x = 3t² + 60

Question

Quizplus · Accepted Answer

Looking at the provided data, we can see that x increases as t decreases. This relationship indicates a negative slope, eliminating choices B and D. Next, we can use the provided equation and plug in the t and x values for any given data point (for example, t=12 and x=42). This will give us two equations with two variables (a and b), which can be solved for to find the correct choice. Using the first data point provided (t=0, x=60), we get: x = at² + b 60 = a(0) + b b = 60 Using the second data point provided (t=12, x=42), we get: 42 = a(12) + 60 a = -2 Plugging a=-2 and b=60 back into the original equation, we get choice C: x = -2t² + 60.

Find the Equation X = At2 + B That Fits

Find the Equation X = At² + B That Fits