Final answer:
To find the value of k at t = -7 in the given equation, substitute -7 into the equation and solve for k(-7). The value of k at t = -7 is 0.5.
Step-by-step explanation:
Given the function k(t) = 10 - 19k(-7), we need to evaluate the expression for k at t = -7. Substitute -7 into the equation:
k(-7) = 10 - 19k(-7)
Now, solve for k(-7) by moving the terms around:
20k(-7) = 10
k(-7) = 10/20
k(-7) = 0.5
So, the value of k at t = -7 is 0.5.