First you multiply the last term by the first term (3h+16h+15). Then find numbers that add to 16 and multiply to 15 then add or subtract it from (3h+15)(3h+1). Then factor if possible (h+5)(3h+1)
The line x - y = 5 passes through points (-5,0) and (0,5)
the line in slope intercept form is y = x + 5 and plug in the point to see if the equation is true.
Let's have this equation equal y first. All we have to do is add y to both sides and subtract 4 from both sides.
5x-4=y
Now, to get a parallel line, the y intercept has to change. The y intercept (the -4 in the equation) can be an infinite amount of number but -4.
Let's choose 6. We would have 5x+6=y or you could put it in the way the other equation was, 5x-y=-6.
Write the hours as ratio
Carrie : Jerry
2 : 5
Put this ratio in words, we say 'for every two hours Carrie takes to inspect a case, Jerry would need 5 hours'
Carrie has done 30 minutes on a case before taking a break. It means Carrie has 1.5 hours left on the case if she was to continue it.
We need to work out the proportion of the time Jerry would take in comparison to 1.5 hours that Carrie would have taken.
First, we divide 2 by 1.5 ⇒

Then we divide 5 by 4/3 ⇒

hours
Jerry would have taken 3.75 hours to finish the rest of the case