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 the two linear functions, let's analyze them individually:

Linear Function 1:

• Taesha starts the year with $50 saved. This is her initial value.
• Then, she saves an additional $25 a week, but for determining the initial value, we only focus on the starting amount, which is $50.

Linear Function 2:

• The equation for Joshua's savings is given as \( y = 37x + 40 \).
• In this equation, the initial value (when \( x = 0 \)) is represented by the constant term, which is $40.

Now we can compare the initial values of both functions:

• Linear Function 1 has an initial value of $50.
• Linear Function 2 has an initial value of $40.

Conclusion: Linear Function 1 has the greater initial value since $50 is greater than $40.

So, the answer is 1 for Linear Function 1.