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The average retail price in the spring of 2009
for a used car is shown in the table at the right.
a. Write a linear function to model the price of the car
with respect to age.
b. Interpret the meaning of the slope of the line.
C. Assuming a constant rate of change predict the average
retail price for a 7-year-old car.

The average retail price in the spring of 2009 for a used car is shown in the table at the right a Write a linear function to model the price of the car with re class=

Respuesta :

fichoh

The linear function represented by the table illustrated has :

  • Slope value = - 1221
  • Slope gives the rate of change. Here, price of vehicle decreases by $1221 per year.
  • Retail value of vehicle will be $11273 after 7 years.

General form of a linear equation :

  • y = mx + b
  • Where ; slope = m ; b = intercept
  • Age = x ; value = y

  • The slope = change in y ÷ change in x
  • Slope = (16157 - 17378) ÷ (3 - 2) = - 1221
  • The value of the slope means that, the retail price of the car decreases by $1221 per year.

To obtain the intercept, b :

  • Choose a pair of x and y values ; (2, 17378)
  • 17378 = - 1221(2) + b
  • 17378 = - 2442 + b
  • 17378 + 2442 = b
  • b = 19820

The linear relationship given by the table is :

  • y = - 1221x + 19820

Retail price for a 7-year old car ::

  • x = 7
  • y = - 1221(7) + 19820
  • y = -8547 + 19820
  • y = 11273

Therefore, the retail price of a 7-year old car is $11273.

Learn more: https://brainly.com/question/18405415

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