Final answer:
To find out after how many days Kyle will have saved $100, the equation 40 + 1.25d = 100 is used. After subtracting 40 and dividing by 1.25, it is found that Kyle needs to save for 48 days.
Step-by-step explanation:
Kyle received $40 from his aunt for his birthday and afterwards, he adds $1.25 to his savings every day. To determine after how many days, d, Kyle will have saved $100, you can write the equation.
The total amount of money Kyle will have after d days is his initial amount plus $1.25 times the number of days. Therefore, the equation is:
40 + 1.25d = 100
To solve for d, you would subtract 40 from both sides to get:
1.25d = 60
Then, you divide both sides by 1.25 to find the number of days:
d = 60 / 1.25
d = 48
So after 48 days, Kyle will have saved $100.