x 10 15 20 25 f x 82 137 192 247 The table shows four values of x and their

Question

x 10 15 20 25 f x 82 137 192 247 The table shows four values of x and their corresponding values of f x . There is a linear relationship between x and f x that is defined by the equation f x = m x - 28 , where m is a constant. What is the value of m ?

Accepted Answer

The correct answer is 11 . It's given that f x is defined by the equation f ( x ) = m x - 28 , where m is a constant. It's also given in the table that when x = 10 , f x = 82 . Substituting 10 for x and 82 for f x in the equation f x = m x - 28 yields, 82 = m 10 - 28 . Adding 28 to both sides of this equation yields 110 = 10 m . Dividing both sides of this equation by 10 yields 11 = m . Therefore, the value of m is 11 .

$x$	$10$	$15$	$20$	$25$
$f (x)$	$82$	$137$	$192$	$247$

Question x-10-1