Question

Write each answer in polynomial in simplest form. Jack deposited some money in his savings account in September. In October, he deposited twice as much as in September, and in November, he deposited one-half as much as in September. If x represents the amount of money deposited in September, represent, in terms of x, the total amount Jack deposited in the 3 months.

A) 4x
B) 2x+x/2
C) 5x
D) 3x

Answer 1

To find the total amount Jack deposited in the 3 months, we add up the amounts deposited in each month: x + 2x + x/2. Simplifying the expression, the total amount is 3.5x.

Step-by-step explanation:

To represent the total amount Jack deposited in the 3 months, we need to add up the amounts deposited in September, October, and November.

Jack deposited twice as much as in September in October, so the amount deposited in October is 2x.

Jack deposited one-half as much as in September in November, so the amount deposited in November is x/2.

To find the total amount, we add up the amounts deposited in each month: x + 2x + x/2.

Combining like terms, the total amount Jack deposited in the 3 months is 3x + x/2.

Simplifying the expression, we get 3x + 0.5x = 3.5x.