Answer:
OPTION B: 57x - 3
Step-by-step explanation:
Total tires produced is the sum of number of over-sized tires and the number of compact tires.
So, we have when x = 1, tires, y = 23 + 31 = 54
When x = 2, total tires y = 48 + 63 = 111
When x = 3, total tires y = 73 + 95 = 168
When x = 4, total tires y = 98 + 127 = 225
We can substitute the options to check which one will be the correct representation.
Option A: 55x - 1
When x = 1, y = 55(1) - 1 = 54
When x = 2, y = 55(2) - 1 = 109 [tex]$ \ne $[/tex] 111
So, this option is eliminated.
Option B: 57x - 1
When x = 1, y = 57(1) - 3 = 54
When x = 2, y = 57(2) - 3 = 111
When x = 3, y = 57(3) - 3 = 168
When x = 4, y = 57(4) - 3 = 225
These values exactly match with the values from the table. So, Option B is the right answer.
Option C: 110x - 2
When x = 1, y = 110(1) - 2 = 108 [tex]$ \ne $[/tex] 54
Hence, this option is incorrect.
Option D: 114x - 6
When x = 1, y = 114(1) - 6 [tex]$ \ne $[/tex] 54
Hence, this option is also eliminated.
Option B is the required answer.
Answer: D
Step-by-step explanation:
the person above me was on the right track but needed to multiply the sum of the y values by 2. Therefore the answer should be D
