Complete the table below to solve the equation 2.5x - 10.5 = 64(0.5x).
Solution:
A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B.
A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math. f = {(a,b)| for all a ∈ A, b ∈ B}
Given functions are f(x) = 2.5x - 10.5 and g(x) = 64(0.5x).
When x = 2: f(x) = 2.5(2) - 10.5 = 5 - 10.5 = -5.5; g(x) = 64(0.5²) = 64/4 = 16
When x = 3: f(x) = 2.5(3) - 10.5 = 7.5 - 10.5 = -3; g(x) = 64(0.5³) = 64/8 = 8
When x = 4: f(x) = 2.5(4) - 10.5 = 10 - 10.5 = -0.5; g(x) = 64(0.5⁴) = 64/16 = 4
When x = 5: f(x) = 2.5(5) - 10.5 = 12.5 - 10.5 = 2; g(x) = 64(0.5⁵) = 64/32 = 2
When x = 6: f(x) = 2.5(6) - 10.5 = 15 - 10.5 = 4.5; g(x) = 64(0.5⁶) = 64/64 = 1
Complete the table below to solve the equation 2.5x - 10.5 = 64(0.5x).
Summary:
The table is completed by solving the equation 2.5x - 10.5 = 64(0.5x).