j ( x ) = m x + 144 For the linear function j , m is a constant and

Question

j ( x ) = m x + 144 For the linear function j , m is a constant and j ( 12 ) = 18 . What is the value of j ( 10 ) ?

Accepted Answer

The correct answer is 39 . It&rsquo;s given that for the linear function j , m is a constant and j 12 = 18 . Substituting 12 for x and 18 for j x in the given equation yields 18 = m 12 + 144 . Subtracting 144 from both sides of this equation yields - 126 = m 12 . Dividing both sides of this equation by 12 yields - 10.5 = m . Substituting - 10.5 for m in the given equation, j x = m x + 144 , yields j x = - 10.5 x + 144 . Substituting 10 for x in this equation yields j 10 = - 10.5 10 + 144 , or j 10 = 39 . Therefore, the value of j 10 is 39 .

Question j-x-m-