Question 5 Answer the following questions concerning the given word problem. All answers in reduced non-decimal form and round 4 decimals. Suppose you buy a brand new laptop for $$ \$ 2000 $$. After 3 years the value of the laptop is $$ \$ 200 $$. a. Find $$ \mathrm{V}(\mathrm{x})=\mathrm{m} x+\mathrm{b} $$, where $$ \mathrm{V}(\dot{x}) $$ is the value of the laptop after x months. b. Interpret "m" in part a. c. What is the value of the laptop after 1.5 years? d. When will the laptop have a value of $$ \$ 0 $$ ? Use the editor to format vour answer

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Craig Blake · Accepted Answer

a. $$ V(x) = -50x + 2000 $$ b. $$ m $$ is the monthly depreciation rate of $$ \$ 50 $$. c. The value after 1.5 years is $$ \$ 1100 $$. d. The laptop will be worth $$ \$ 0 $$ after 40 months.

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