Question

1.) Given that f is a linear function and f(5) - f(3) = 10, determine the value of f(10) - f(2).

Answer 1

hello : let f(x) = ax
f(5) = 5a
f(3) = 3a
f(5)-f(3) =10     : 5a-3a = 10
2a = 10   so : a = 5
f(x) = 5x
 f(10) -f(2) = 50-10 = 40