Some work through this with me please?
Algebra

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DEPRECIATION A machine that originally cost $15,600 has a value of $7500 at the end of 3 years. The same machine has a value of $2800 at the end of 8 years.
a.
Find the average rate of
change in value (depreciation) of the machine between its purchase and the end
of 3 years.
b.
Find the average rate of
change in value of the machine between the end of 3 years and the end of 8
years.
c. Interpret the sign of your answers.
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a. The average rate of change will equal the change in cost divided by the number of years. You want to determine how much less the machine costs each year. You can use the basic 'rate' equation seen below, then plug in the given values:
time=3yrs
cost2=$7500 cost of machine at end of 3 years
cost1=$15600 cost of machine originally
Rate=(cost2cost1)/time
Rate=(750015600)/3
Rate = $2700/yrs
b. Same concept for this question:
time=83=5yrs
cost1=$7500
cost2=$2800
Rate=(cost2cost1)/time
Rate=(28007500)/5
Rate = $940/yrs
c. Since the signs for questions a and b are negative, this means that the machine will cost less each year. If looking at problem a, the answer means that for every one year, the machine costs $2700 less on average.
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