The price, in dollars, of a motorcycle t years after purchase is modelled by P(t) = 15 000– 2500t, 0 < t <6. a) State the independent variable and the dependent variable, b) Find the value of P(0). State the meaning of P(0) in this context. c) Find the price of the motorcycle 1.5 years after purchase, d) Find the value of t for which P(t) = 6250. Interpret this value of t. e) Comment on the case t = 6. f) Sketch the graph of this function. %3D
The price, in dollars, of a motorcycle t years after purchase is modelled by P(t) = 15 000– 2500t, 0 < t <6. a) State the independent variable and the dependent variable, b) Find the value of P(0). State the meaning of P(0) in this context. c) Find the price of the motorcycle 1.5 years after purchase, d) Find the value of t for which P(t) = 6250. Interpret this value of t. e) Comment on the case t = 6. f) Sketch the graph of this function. %3D
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The price, in dollars, of a motorcycle t years after purchase is modelled by
P(t) = 15 000 – 2500t, 0 < t < 6.
a) State the independent variable and the dependent variable,
b) Find the value of P(0). State the meaning of P(0) in this context.
c) Find the price of the motorcycle 1.5 years after purchase,
d) Find the value of t for which P(t) = 6250. Interpret this value of t.
e) Comment on the case t = 6.
f) Sketch the graph of this function.
%3D
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