Jack has $205, and he is spending $2 each day. Which algebraic expression describes this situation, where d represents the number of days?
Mathematics · High School · Tue Nov 03 2020
Answered on
Given:
Jack's Money = $205
Money spent per day = $2
Write an algebraic expression that describe the situation where d represents the number of days.
Solution:
Algebraic Expression for Jack's Money Spent per day = 205 - 2d
We represent the given in an algebraic expression, where d signifies the number of days. We know that the total money is 205, therefore we've written the first value as 205, then we've written - 2d since everyday, Jack is spending $2.
In order to determine how many days will Jack's money last, we will simply transpose -2d on the other side of the equation, and divide both sides by 2. It must be taken to note, that when transposing a number, the sign changes.
205 - 2d = 0
2d = 205
d = 102.5
Jack's money will last for 102.5 days.