Craig earns extra money as a lifeguard he earns $37 for 4 hours and $64.75 for 7 hours. Identify the constant of proportionality and write an equation for the proportional relationship

y = 9.25x

Step-by-step explanation:

Let the equation for the proportionality relation is y = mx ... (1), where y represents the money that Craig earns for a duty of x hours.

Here, m is the constant of proportionality and we have to find its value.

Given that Craig earns $37 for 4 hours duty.

So, from equation (1), we have 37 = 4m, ⇒ m = 9.25

Therefore, the equation becomes y = 9.25x. (Answer)