Which option makes (y) increase by (5) per step and has (y(4)=37)?

Correct answer: \(y=17+5x\)

Let the linear expression be \(y=a+5x\), since \(y\) must increase by 5 when \(x\) increases by 1. Using \(y(4)=37\) gives \(a+5(4)=37\), so \(a=17\). Therefore, \(y=17+5x\) is correct. Although \(y=57-5x\) gives \(y(4)=37\), its coefficient of \(x\) is \(-5\), so it represents a decrease, not an increase. Exam tip: substitute the given \(x\)- and \(y\)-values to find the constant term.