Question

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Part 1
Describe and correct the error a student made when finding the function rule for the data in the table.
Start 2 By 5 Table 1st Row 1st Column Bold x 2nd Column 1 3rd Column 2 4st Column 3 5st Column 4 2nd Row 1st Column Bold y 2nd Column 10 3rd Column 19 4st Column 28 5st Column 37 EndTable Select the correct choice below and fill in the answer​ box(es) to complete your choice.
A.
The student read the table incorrectly. When xequals​1, yequals
  
enter your response here. The correct function rule is yequals
  
enter your response here.
B.
When x increases by​ 1, y increases by
  
enter your response here rather than by 9. The correct function rule is yequals
  
enter your response here.
C.
The student should have used xequals0 to find the constant​ term, not xequals1. When xequals​0, yequals
  
enter your response here. The correct function rule is yequals
  
enter your response here.

Answer 1

C. The student should have used x = 0 to find the constant term, not x = 1. When x = 0, y = 1. The correct function rule is y = 9x + 1.

(Reason: y increases by 9 when x increases by 1, so y = 9x + b. Using (1,10): 10 = 9(1) + b ⇒ b = 1.)