The price of a particular model car is 35000 today and rises with at a constant rate of 700 per year. How much will a new cost in 6 years? Identify the independent and dependent variables. Write an equation for the linear function and use it to answer the given question.

**Solution:-**

The quantities related by a function are called variables because they vary.

The independent variable is time in years.

The dependent variable is the car cost.

Use the slope-intercept from of an equation, y = mx + b to develop a model for the given data.

Remember that slope, m, can be interpreted as the rate of change of the dependent variable per unit change in the independent variable.

Slope =

Read the problem statement and find the slope, or the rate of increase of the car cost per year.

m = 700

Read the word problem again and find the y-intercept, b.

The y-intercept, b, in the equation can stand for the present cost of the car.

b = 35000

Use the slope-intercept from of an equation, to write the function p. Substitute 700 for m and 35000 for b.

P = 700x + 35000

Use the equation for the linear function p to find a new car cost after 6 years.

Substitute 6 for x in the equation.

P = 700x + 35000

= 700*6 + 35000

= 39200

Therefore, the price of the car in 6 years will be 39200.