Write a linear equation to model the situation. You borrow $70 from your brother. To repay the loan, you pay $7 per week.
Simple. 70=7w
To write a linear equation that models this situation, we need to identify the variables involved and the relationship between them.
Let's define:
x = the number of weeks since the loan was given
y = the amount of money you still owe your brother
We know that you borrowed $70 from your brother. To repay the loan, you pay $7 per week. With each passing week, the amount you owe decreases by $7.
To model this situation with a linear equation, we can start with the initial amount of the loan, $70, and subtract $7 for each week that passes.
The equation is:
y = 70 - 7x
In this equation, x represents the number of weeks passed, and y represents the amount of money you still owe your brother. The initial loan amount, $70, is subtracted by $7 for each week that has passed.