Point Q is equidistant from AB and AC. What must be true about Q?
Chose from the following
A. It's on the perpendicular bisector of AB
B. It's on the perpendicular bisector of AC
C. BQ=CQ
D. It is on the angle bisector of ∠BAC.

D. It is on the angle bisector of ∠BAC

Step-by-step explanation:

Given that point Q is equidistant from AB and AC. This implies that AB and AC forms an angle BAC i.e <BAC. An equidistant point is a point that has the same distance from two different reference points.

Bisection is the process by which a line or angle is divided into two equal parts. A line that passes through the point of division is called a bisector, which is of equal distance to either of the reference points.

Thus by construction, a point that would be of equal distance to AB and AC is on an angle bisector of <BAC. So that point Q is on the angle bisector of <BAC.

 Required function will be

Average rate of change will be $25 per month.

Step-by-step explanation:

Since we have given that

Eliza started her saving account with $100 .

So, Initial amount  = $100

Each month she deposits $25 into her account ,

So, Increment per month = $25

Now, we need a relationship between the amount Eliza deposit and the total amount in her amount will be

So, required function will be

In Second month, amount will be

In tenth month, amount will be

Average rate of change from second month to the 10 th month will be

Hence, average rate of change will be $25 per month.