Apolitician’s support grew from 42% by 3 percentage points to 45%. what percent (relative) change is this?

The percent (relative) change is 7.14 percent (%).

Step-by-step explanation:

We are given that the original support value is at 42%.

Then the support increased by 3%, to reach 45%.

We want the Percentage Change (i.e. relative) change of this increase, which can be computed as:

where is the final value reached

            is the original value

So plugging in our known values and computing we have:

percent increase.

Now lets go back and check if we are correct.

So it works!

yes

yes yes yes

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)