(e) the average cost of a compact car at a certain dealership over the last 10 years has ranged from $14,000 to $18,500. suppose you were going to plot these points on a coordinate grid. (a) what is a good scale to use for the y-axis? explain your reasoning. (b) what is a good interval to use for the y-axis? explain your reasoning.

A)$0-18,500

B)500

Step-by-step explanation:

A) A good scale to use for this question would be $0-18,500 at least. You would start with 0 because if you have $0 then you will get no car. And all the way to at least $18,500 because that is the average cost of a compact car within 10 years and to go any lower than that would make it inaccurate.

B) 500 would be a goo interval for this because $18,500 ends with 500. So, that means if you count by 500's then you will be able to get exactly 18,500 without counting by 1's.

Hope This Helps!

(a)   The scale should go by 1,000 because that would show that the slope growing by time.

(b)   The interval should go by 500 because 18,500 is the last number, so it should be 500

 Hope this helped ;)

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1