Jillian has $50 that she plans on investing in an account that will double her money every week. This can be represented by the equation M = 50(2)x where M represents the amount of money she has and x represents the number of weeks that have passed. Her uncle Charlie gives her a gift of $400 so she decides to start her investment with that money plus the $50 she already had. What should be changed in the equation M = 50(2)x to represent the new situation?
In better notation,
M(x) = 50 * 2^x
change the 50 to 450
Replace the 50 with 400.
To represent the new situation, the equation M = 50(2)x should be modified to include the additional $400 that Jillian received from her uncle Charlie. The equation can be written as:
M = (400 + 50)(2)x
This takes into account the initial amount of money that Jillian starts with, which is the sum of the $400 gift and the $50 she already had.
In the original equation M = 50(2)x, the variable M represents the amount of money Jillian has and x represents the number of weeks that have passed. However, since her uncle Charlie gave her an additional $400, we need to modify the equation to include that amount.
To represent the new situation, we need to change the equation to M = (400 + 50)(2)x. This is because Jillian now has $400 from her uncle Charlie and $50 of her own money to invest, so the total initial amount she has is (400 + 50). The rest of the equation remains the same, as she still plans to double her money every week.
So, the modified equation to represent the new situation is M = (400 + 50)(2)x.