To compare the initial values of Linear Function 1 and Linear Function 2, we need to identify the initial values from both functions.
Linear Function 1:
- Taesha starts with $50 saved. This is the initial value.
- She saves an additional $25 each week, so the function can be expressed as: \[ y = 25x + 50 \]
Initial value of Linear Function 1 is $50.
Linear Function 2:
- The relationship for Joshua's total savings is given by: \[ y = 37x + 40 \]
- Here, the initial value (when \( x = 0 \)) is $40.
Initial value of Linear Function 2 is $40.
Now comparing the initial values:
- Linear Function 1: $50
- Linear Function 2: $40
Conclusion: Linear Function 1 has the greater initial value.
The answer is 1 for Linear Function 1.