Final answer:
the correct option is: a) f(x) = 8x + 6y = 288. The equation representing the total length of Jarrod's sidewalk using two different styles of bricks is f(x) = 8x + 6y = 288, where x and y are the number of bricks of 8 inches and 6 inches respectively.
Step-by-step explanation:
When Jarrod is creating a sidewalk with two different styles of bricks, we can write an equation to represent the total length of the sidewalk using the number of each style of brick he intends to use.
Since one style of brick is 8 inches long and he plans to use x of these, and the other style is 6 inches long with y planned bricks, and knowing that the total length of the sidewalk is to be 288 inches, we can represent this situation with the equation 8x + 6y = 288.
Therefore, the correct option is:
a) f(x) = 8x + 6y = 288