C. ![M(x) = 4x + 4](/tpl/images/0938/6056/5ffeb.png)
Step-by-step explanation:
Find the rate of change/slope (m) using two pairs (1, 8) and (2, 12):
![slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 8}{2 - 1} = \frac{4}{1} = 4](/tpl/images/0938/6056/41255.png)
(Note: M(x) = y)
Find y-intercept (b) by substituting x = 1, M(x) = 8, and m = 4 in M(x) = mx + b.
Thus:
8 = (4)(1) + b
8 = 4 + b
Subtract 4 from each side
8 - 4 = b
4 = b
b = 4
substitute m = 4, and b = 4 in M(x) = mx + b, to get the equation that models the relationship.
The equation would be:
✅ ![M(x) = 4x + 4](/tpl/images/0938/6056/5ffeb.png)