Question

ANSWER ASAP DUE IN TWO DAYS!!!!!!!!!

The average selling price of a certain type of car is $18,500. A dealer
selling a car of this type allows this price to vary by $1,400. Write an
equation that represents the highest and lowest prices for which the
dealer might sell the car.
Use 'x' as the variable in your equation.

Answer 1

|x-18500| = 1400

x = 19900 the maximum value

x = 17100 the minimum value

`17100 \leqslant x \leqslant 19900`

Explanation:

For this we need to use an absolute value equation since the price varies in both directions up and down.

|x - Central Value| = Allowable Variance

|x-18500| = 1400

To solve absolute value equations there is a positive and a negative scenario hence we have:

positive scenario

x - 18500 = 1400

x = 1400 + 18500

x = 19900 the maximum value

negative scenario

x - 18500 = -1400

x = -1400 + 18500

x = 17100 the minimum value