Question

Express T as a function of x and find T (200) and T (5.60) ?

Answer 1

To find T as a function of x, we rearrange the equation and solve for t using the quadratic formula. Then, substitute the given x values to find T(200) and T(5.60).

Step-by-step explanation:

To express T as a function of x, we need to solve for t in the equation x = xo + vot + 1/2at². Rearrange the equation by plugging in the known values: 200 = 0 + 10t - 1/2(2)t². Simplify the equation to t² + 10t - 200 = 0. You can use the quadratic formula to solve for t.

For T(200), substitute x = 200 into the equation you found for t. For T(5.60), substitute x = 5.60 into the equation. Solve for T in both cases to find the values.

Answer 2

T(x) = 0.06x, where x is the before-tax price of the goods.

Then T($200) = 0.06($200) = $12.

Can you now find T($5.60)?