Final answer:
Miguel's earnings can be represented by the equation y = 12x, and Savannah's earnings can be represented by y = 8 + 8x, where x represents the time in days and y represents the total amount of money earned.
Step-by-step explanation:
To write an equation for each situation given, we use x to represent time (in days or weeks, as appropriate) and y to represent money (in dollars).
For Miguel, who earns $12 per day for walking dogs, the equation would be simply:
y = 12x
This means that y, the total amount of money Miguel earns, is equal to 12 times the number of days he walks the dogs (x).
For Savannah, who gets a weekly allowance of $8 and also earns $8 each day for watering plants and collecting mail, the equation is a bit different as it involves a weekly and a daily component. Since she earns the allowance regardless of her other work, the equation would be:
y = 8 + 8x
This equation represents the $8 weekly allowance (the constant part) plus $8 multiplied by the number of days she waters the plants and collects mail.