1. We assume, that the number 150 is 100% - because it's the output value of the task. <span>2. We assume, that x is the value we are looking for. </span> <span>3. If 100% equals 150, so we can write it down as 100%=150. </span> <span>4. We know, that x% equals 75 of the output value, so we can write it down as x%=75. </span> 5. Now we have two simple equations: 1) 100%=150 2) x%=75 where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that: 100%/x%=150/75 6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 75 is what percent of 150
100%/x%=150/75 <span>(100/x)*x=(150/75)*x - </span>we multiply both sides of the equation by x <span>100=2*x - </span>we divide both sides of the equation by (2) to get x <span>100/2=x </span> <span>50=x </span> x=50
<span>now we have: </span> <span>75 is 50% of 150</span>
Step-by-step explanation: The key here is point slope form. Whenever you are given questions with a given point (y1, x1) and slope m just use this form, (y-y1)=m(x-x1)