y = 65x
Which could NOT be a point on this table?
(2,130)
(8,455)
(1,65)
(11,715)
Answer (2)
The equation is y = 65 x .
Check each point to see if it satisfies the equation.
( 2 , 130 ) : 130 = 65 × 2 (True)
( 8 , 455 ) : 455 = 65 × 8 (False)
( 1 , 65 ) : 65 = 65 × 1 (True)
( 11 , 715 ) : 715 = 65 × 11 (True)
The point that does not satisfy the equation is ( 8 , 455 ) .
The answer is ( 8 , 455 )
Explanation
Understanding the Problem We are given the equation y = 65 x and a set of points. Our goal is to determine which point does not satisfy the equation. In other words, we need to find the point ( x , y ) for which ye q 65 x .
Checking Each Point Let's test each point:
Point ( 2 , 130 ) : We check if 130 = 65 × 2 . Since 65 × 2 = 130 , this point satisfies the equation.
Point ( 8 , 455 ) : We check if 455 = 65 × 8 . Since 65 × 8 = 520 , and 520 = 455 , this point does not satisfy the equation.
Point ( 1 , 65 ) : We check if 65 = 65 × 1 . Since 65 × 1 = 65 , this point satisfies the equation.
Point ( 11 , 715 ) : We check if 715 = 65 × 11 . Since 65 × 11 = 715 , this point satisfies the equation.
Identifying the Incorrect Point From the calculations above, we see that the point ( 8 , 455 ) does not satisfy the equation y = 65 x .
Final Answer Therefore, the point that could NOT be on this table is ( 8 , 455 ) .
Examples
Imagine you're selling items for 65 e a c h . T h ee q u a t i o n y = 65x$ helps you calculate your total earnings (y) based on the number of items you sell (x). If you sold 8 items and your earnings were recorded as $455, you'd know there's a mistake because 8 items should earn you $520. This kind of check is useful in everyday situations to ensure accuracy in calculations and record-keeping.
The point that could NOT be on the table defined by the equation y = 65 x is (8, 455). This is because it does not satisfy the equation. The correct evaluations show that 455 = 520 (which is 65 × 8 ).
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