Question

Question

Dale has three dollars more than twice the amount of money that Leo has.

Which statement makes this comparison using the correct variable expression?



Responses

If Leo has d dollars, then Dale has 2(3)+d ⁢ dollars.
If Leo has d dollars, then Dale has 2 open parenthesis 3 close parenthesis plus d ⁢ dollars.

If Leo has d dollars, then Dale has 2d + 3 ⁢ dollars.
If Leo has d dollars, then Dale has 2 d + 3 ⁢ dollars.

If Leo has d dollars, then Dale has d2+3 dollars.
If Leo has d dollars, then Dale has fraction d over 3 end fraction plus 3 dollars.

If Leo has d dollars, then Dale has d + 2 + 3 ⁢ dollars.

Answer 1

To express the statement "Dale has three dollars more than twice the amount of money that Leo has" using variable expressions, we first define the variable:

Let \( d \) represent the amount of money that Leo has.

According to the problem, twice the amount of money Leo has can be expressed as \( 2d \).

Since Dale has three dollars more than this amount, we add 3 to \( 2d \). Therefore, Dale's amount can be expressed as:

\[ 2d + 3 \]

So, the correct response is:

If Leo has d dollars, then Dale has 2d + 3 dollars.