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)
(
𝑥
)
and his total savings (y)
(
𝑦
)
is given by y=37x+40
𝑦
=
37
𝑥
+
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:

Linear Function 1:

• Taesha starts with $50 saved. This is the initial value.
• After that, she saves $25 a week, but the initial value is what we are concerned with here.

Linear Function 2:

• The equation is given by \( y = 37x + 40 \).
• The initial value (when \( x = 0 \)) is the constant term, which is $40.

Now, we compare the initial values:

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

Since $50 (Linear Function 1) is greater than $40 (Linear Function 2), we can conclude that:

Linear Function 1 has the greater initial value.