To calculate the value of the investment after 5 days, we need to subtract the decrease in value each day from the initial value. The correct expression that represents the value of the investment after 5 days is:
d. 414 + 5(-3.15)
Let's break it down step by step:
1. The initial value of the investment is $414.
2. The rate of change each day is -$3.15.
3. We multiply the rate of change by the number of days (5) to get the total decrease in value: 5 * (-3.15) = -15.75.
4. We add the total decrease in value to the initial value of the investment: 414 + (-15.75) = 398.25.
Therefore, the expression 414 + 5(-3.15) correctly represents the value of the investment after 5 days, which is $398.25.
Hence, the answer is: d. 414 + 5(-3.15)