Final answer:
To determine after how many days Kyle will have saved $100, we set up the equation 40d = 100. Solving for d gives us d = 2.5, which rounds up to 3 days because Kyle cannot receive money for a fraction of a day.
Step-by-step explanation:
To determine after how many days Kyle will have saved $100 by receiving $40 from his aunt every day, we need to set up an equation. The amount Kyle saves each day is $40, so if we let the variable d represent the number of days he receives money, the total amount saved can be calculated as 40d.
To find out after how many days he will have $100, we set up the equation 40d = 100. Solving for d, we divide both sides by 40 to get d = 100 / 40, which simplifies to d = 2.5. However, since Kyle cannot receive money for a fraction of a day, we round up to the next whole day, meaning Kyle will have saved $100 after 3 days.