Question

T is inverse lyproportionaltod 2T = 12
when d = 8 FindthevalueofT when d = 0.5

Answer 1

To find the value of T when d is 0.5 and given that 2T=12 when d=8, we first determine the constant of proportionality (k=48). Then we solve for T by dividing k by the new value of d (0.5), resulting in T=96.

Step-by-step explanation:

To find the value of T when d is inversely proportional to T and 2T = 12 when d = 8, we first need to establish the constant of proportionality, k. We know that T * d = k, so we can substitute the given values to find k:

k = T * d = 6 * 8 = 48

Now we can find T when d = 0.5 by setting up the equation T * 0.5 = 48. To solve for T, we rearrange the equation:

T = 48 / 0.5 = 96

Therefore, the value of T when d = 0.5 is 96.