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Compare Linear Function 1 with Linear Function 2. Which one has the lesser initial value?

Linear Function 1: Lionel’s cell phone plan costs $45 per month.
Linear Function 2: The relationship between the number of months Ruby has had her cell phone (x)
(
x
)
and the total cost (y)
(
y
)
is given by y=40x+60
y
=
40
x
+
60
.

1 answer

To determine which linear function has the lesser initial value, we need to identify the initial values of both functions.

Linear Function 1: Lionel’s cell phone plan costs $45 per month.

  • The cost is $45 per month, meaning the initial value is $45 when \( x = 0 \).

Linear Function 2: Ruby's relationship is given by the equation \( y = 40x + 60 \).

  • The initial value occurs when \( x = 0 \): \[ y = 40(0) + 60 = 60 \] So the initial value for Ruby's plan is $60.

Now, comparing the two initial values:

  • Linear Function 1 (Lionel): $45
  • Linear Function 2 (Ruby): $60

Conclusion: Linear Function 1 has the lesser initial value of $45 compared to Linear Function 2's initial value of $60.