sat suite question viewer

Algebra / Linear functions Difficulty: Medium

j(x)=mx+144

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

Back question 55 of 152 Next

Explanation

The correct answer is 39 . It’s given that for the linear function j , m is a constant and j12=18. Substituting 12 for x and 18 for jx in the given equation yields 18=m12+144. Subtracting 144 from both sides of this equation yields -126=m12. Dividing both sides of this equation by 12 yields -10.5=m. Substituting -10.5 for m in the given equation, jx=mx+144, yields jx=-10.5x+144. Substituting 10 for x in this equation yields j10=-10.510+144, or j10=39. Therefore, the value of j10 is 39 .