Final answer:
To determine the amount Julia owes her friend after 2 weeks, we can use the linear relationship between the number of weeks and the amount owed. Using the formula L = mt + b, where L represents the amount owed, m represents the rate of payment, and b represents the initial amount owed, we can calculate that Julia owes her friend $100 after 2 weeks.
Step-by-step explanation:
To determine how much money Julia owed her friend after 2 weeks, we need to use the linear relationship between the number of weeks and the amount owed. Let's assume that after 0 weeks, Julia owes $0. The rate at which Julia pays back her friend is constant, so we can use the formula L = mt + b, where m represents the rate of payment and b represents the initial amount owed.
From the table, we can find two data points: (0, 0) and (1, 50). Let's use these points to find the values of m and b.
Using the formula L = mt + b, we have the equation 0 = 0m + b, which simplifies to b = 0.
Substituting the second data point into the equation, we have 50 = m(1) + 0, which simplifies to m = 50.
Now that we know the values of m and b, we can find the amount owed after 2 weeks by substituting t = 2 into the formula L = mt + b:
L = 50(2) + 0 = 100.
Therefore, Julia owes her friend $100 after 2 weeks.