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.

Question

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.

Answer 1

To compare the initial values of Linear Function 1 and Linear Function 2, let's identify the initial value of each function.

Linear Function 1:
Taesha starts with $50 saved. This is her initial value.

Linear Function 2:
The equation given is \( y = 37x + 40 \). The initial value (y-intercept) in this linear equation is the constant term, which is $40.

Now, comparing the initial values:

• Initial value of Linear Function 1: $50
• Initial value of Linear Function 2: $40

Linear Function 1 has the greater initial value of $50 compared to Linear Function 2's $40.

Therefore, the answer is: 1 (Linear Function 1 has the greater initial value).