Compare Linear Function 1 with Linear Function 2. Which one has the greater initial value? Choose 1 for Linear Function 1; choose 2 for Linear Function 2.Linear Function 1: Taesha starts the year with $50 saved and then saves an additional $25 a week.Linear Function 2: The relationship between the number of weeks Joshua has been saving (x) and his total savings (y) is given by y=37x+40 (1 point)Linear Function has the greater initial value.

Question

GPT-4o mini · Answer

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.