Final answer:
To calculate the balance of Vanessa's bank account after 20 months using the equation y = 1500 + 300m, we substitute 20 for m resulting in $7,500 as the account balance.
Step-by-step explanation:
The student's question involves determining the balance of Vanessa's bank account after 20 months, given the linear equation y = 1500 + 300m, where y represents the bank account balance and m represents the number of months. To find the balance after 20 months, simply substitute 20 for m in the equation and calculate the resulting value. The calculation would look like this: y = 1500 + 300(20).
By doing the multiplication, we get 300(20) = 6000. Next, we add this value to the initial 1500 to obtain Vanessa's account balance, which yields y = 1500 + 6000 = 7500. Therefore, after 20 months, Vanessa's bank account balance will be $7,500.