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 (х) and the total cost (y) is given by y = 40х + 60.
To determine which linear function has the lesser initial value, we need to compare the y-intercepts (the constant term or the value of y when x = 0) of the two functions.
For Linear Function 1, the constant term is $45 per month. This means that even if Lionel has just started his cell phone plan (x = 0), he would still have to pay $45.
For Linear Function 2, the constant term is $60. This means that if Ruby has just gotten her cell phone (x = 0), she would have to pay $60.
Comparing the two constant terms, $45 is less than $60. Therefore, Linear Function 1 has the lesser initial value.