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SUB TO ME TO GET 1M+ FREE ROBUX AND FREE BRAINLIESTSUB

sanic123

19.12.2021

$y = 1,500(0.7)^x\ \text{and }y = 1,500 - 300x$

Step-by-step explanation:

Given : Ron buys a lawnmower for $1,500. The salesperson says the value will depreciate about 30% per year (r=0.3) over the next few years.

The exponential decay equation is given by :-

y=A(1-r)^x , where A is the initial amount , r is rate of decay and x is the time period.

Then , the equation of depreciation for Ron :-

y=1500(1-0.3)^x=1500(0.7)^x

However, his neighbor says it is likely to depreciate about $300 per year, which is linear depreciation.

The linear equation is given by :-

y=ax+c , where 'c' is the initial amount and 'a' is the rate of change.

Then equation of depreciation for his neighbor :-

y=-300x+1500=1500-300x

Thus , the system could be used to determine when the two depreciation models will give the same value for the lawnmower:-

$y = 1,500(0.7)^x\ \text{and }y = 1,500 - 300x$

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