Final answer:
The slope of function f(x) is 13, and the slope of function g(x) is 34. The slope of g is greater than the slope of f, making g steeper than f.
Step-by-step explanation:
To compare the slopes of functions f and g, we look at the coefficients of x in each equation, because in a linear function of the form y = mx + b, the coefficient m represents the slope of the line.
For the function f(x) = 13x + 25, the slope is 13. For the function g(x) = 34x + 8, the slope is 34.
Comparing the two slopes, we can see that the slope of g is greater than the slope of f.
This means that the function g is steeper than function f, and for every unit increase in x, g(x) rises by 34 units while f(x) rises by 13 units.