Based on the available options and information, the rate of change for the cost per unit is approximately $0.09 per unit.
To find the rate of change for the cost per unit, calculate the change in cost divided by the change in units.
Change in cost = Final cost - Initial cost
Change in units = Final units - Initial units
Using the given data:
Initial cost = $51
Final cost = $168
Initial units = 175
Final units = 1,475
Change in cost = $168 - $51 = $117
Change in units = 1,475 - 175 = 1,300
Now, calculate the rate of change for the cost per unit:
Rate of change = Change in cost / Change in units
Rate of change = $117 / 1,300
Therefore, the rate of change for the cost per unit is approximately $0.09 per unit.