The correct equation representing the relationship between Sam's favorite number (s) and Ben's favorite number (b) is s = 10b - 2. This accurately reflects the given rule that Sam's number is 2 less than 10 times Ben's number.
The equation that represents the relationship between Sam's favorite number (s) and Ben's favorite number (b) is s = 10b - 2. This is because the problem states that Sam's favorite number is equal to 2 less than 10 times Ben's favorite number.
So, the correct choice is:
s = 10b - 2
Option A, s = 10b + 2, incorrectly adds 2 instead of subtracting, and Option B, s = 2 - 10b, incorrectly subtracts 10 times Ben's number instead of adding.
Option C, s = 10b - 2, accurately reflects the relationship described in the problem, making it the correct equation to represent the rule. Therefore, the answer is Option C.
The probable question may be:
S b
4 38
5 48
6 58
7 68
Sam’s favorite number is equal to 2 less than 10 times Ben’s favorite number. The table shows how the favorite number of Sam, s, depends on the favorite number of Ben, b. Choose the equation which represents the rule.
A) s = 10b + 2
B) s = 2 − 10b
C) s = 10b − 2
D) s = 10b + 2