Daniel worked for 213 hours and earned $18.20.

How much would he make if he worked for 514 hours?

Hello there! To find out how much Daniel would make if he worked 514 hours, we can write and solve a proportion. Set it up like this:

18.20/213 = x/514

This is because we are looking for the amount of money made after 514 hours of work. That is represented by the variable "x", but we know the amount of hours work, so they are lined up together. Cross multiply the values. 18.2 * 514 is 9,354.8. 213 * x is 213x. So, you are left with 9,354.8 = 213x. Now, divide each side by 213 to isolate the "x". 9,354.8/213 is 43.9192488 and other numbers behind it or 43.92 when rounded to the nearest hundredth. x ≈ 43.92. Daniel would make $43.92 if he worked for 514 hours.