What is the linear equation that goes with this scenario?

Ryan is tracking how much money he has each week. • He started with $60. He spent $5 per week until he had $20 left in the account.

1 answer

The linear equation for this scenario is:
\(y = -5x + 60\),
where \(y\) represents the amount of money Ryan has each week and \(x\) represents the number of weeks that have passed.

Initially, Ryan started with $60, which is represented by the y-intercept of the equation. He spent $5 per week, which means the amount of money he has decreases by $5 each week. This is represented by the negative slope of -5x in the equation.

When he had $20 left in the account, the equation would be:
20 = -5x + 60
-40 = -5x
x = 8

Therefore, Ryan would have $20 left in the account after 8 weeks.