Question

Mason opens a savings account by making a $165. 85 deposit. Every week, he deposits another $20. 50 in the account. Write an expression that shows the amount of money that will be in the account x weeks after Mason opens it. 165. 85x 20. 5 165. 85 – 20. 5x 165. 85 20. 5 x 165. 85 20. 5x.

Answer 1

Algebraic expression is the expression which consists the unknown variables, constant and coefficients of variables. The expression that shows the amount of money that will be in the account x weeks after Mason opens it is,

$f(x)=165.85+20.5x$

Hence the option 4 is the correct option.

Given information-

Mason opens a savings account by making a $165.85.

The money deposit by Mason every week is $20.50.

Algebraic expression-

Algebraic expression is the expression which consists the unknown variables, constant and coefficients of variables.

The algebraic expressions use to represent the set of condition of a problem in a mathematical way.

As the initial amount deposit by Mason is $165.85. Thus this amount is fixed and not going to change with the further deposit.

The money  deposit by Mason every week is $20.50. This money is not fixed and increased by $20.50 every week. Thus this is a variable amount.

Therefore the algebraic expression for the given condition can be given as,

$f(x)=165.85+20.5x$

Thus the expression that shows the amount of money that will be in the account x weeks after Mason opens it is,

$f(x)=165.85+20.5x$

Hence the option 4 is the correct option.

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