<span>The table to represent a linear function with a rate of change of +5 </span> so, m = 13 + 5 = 18
The correct answer is option 3 ⇒ <span>m = 18 </span> ======================================== another solution : The table represents a linear function the general equation of the linear function is ⇒ y = ax+b where a is the slope and b is constant By using the first and the third points from table to find the equation of the linear function at x = 3 ⇒ y = 13 and at x = 5 ⇒ y = 23 ∴ 13 = 3a+b → (1)
23 = 5a+b → (2) solve (1) and (2) to find a and b So, a = 5 and b = -2 ∴ y = 5x - 2
After that by substitution with x = 4 int the equation of y ∴ y = 5*4-2 = 18
