I have a negative balance of $153 in my saving account. Every week, I save $17 and deposit it into my saving account. How many weeks will it take for me to save at least $0. a) Write an inequality to represent the situation. b) Solve the inequality
Mathematics · High School · Mon Jan 18 2021
Answered on
Given the statement:
I have a negative balance of $153 in my saving account. Every week, I save $17 and deposit it into my saving account.
Write an inequality to represent the situation.
Representation:
Let x = number of weeks.
-153 + 17x = 0
In order to determine how many weeks will it take to save at least $0, we simply need to transpose -153 on the other side of the equation, hence we must take note that in transposing a number, the sign changes.
-153 + 17x = 0
17x = 153
Divide both sides by 17 to cancel out 17x, leaving behind x.
17x/17 = 153/17
x = 9
Final answer:
It would take 9 weeks to save for $0.