The money will run out in 13 weeks, solved using the linear equation in one variable 16.25 + 3x = 4.25x, where the variable x is the number of weeks. Hence, option C is the right choice.
What is a linear equation in one variable?
A linear equation in one variable is a relation used to solve for an unknown variable (say x). It is formed by the equality of two expressions containing a combination of variables, constants, and mathematical operations.
How do we solve the given question?
In the question, we are said that we save money in a shoebox, which has $16.25. Every week we add $3 to the box and spend $4.25 from it.
We are asked to find the number of weeks in which the money in the box will run out.
To find the number of weeks, we will try to make a linear equation in one variable x from the given information, where x will be the number of weeks.
The money we add initially = $16.25.
The money we add weekly = $3.
∴ The money added in x weeks = $3x.
∴ The Total money saved in x weeks = $16.25 + $3x
The money we spend weekly = $4.25
∴ The total money spent in x weeks = $4.25x
As our money runs out in x weeks, the total money we save in x weeks will be equal to the total money spent in x weeks.
∴ The Total money saved in x weeks = The total money spent in x weeks
or, $16.25 + $3x = $4.25x
or, 16.25 = 4.25x - 3x = 1.25x
or, x = 16.25/1.25 = 13.
∴ The money will run out in 13 weeks, solved using the linear equation in one variable 16.25 + 3x = 4.25x, where the variable x is the number of weeks. Hence, option C is the right choice.
Learn more about the linear equation in one variable at
https://brainly.com/question/24145091
#SPJ2
