Final answer:
The equation that represents the situation is 40d + 1.25d = 100. It will take Kyle approximately 3 days to save $100 for his mom.
Step-by-step explanation:
The equation that represents this situation can be written as:
40d + 1.25d = 100
Where 'd' represents the number of days.
To solve the equation, you need to combine like terms:
41.25d = 100
Next, divide both sides of the equation by 41.25 to isolate 'd':
d = 100/41.25
Using a calculator, you will find that:
d ≈ 2.42
Rounding up to the nearest whole number, Kyle will have saved $100 for his mom after approximately 3 days.