Alfred gathers data on a company that buys equipment. - The company buys $$15,000$$ dollar worth of equipment at the beginning of the year $$2018$$ . - The equipment is estimated to decrease in value at a rate of $$12.5 \%$$ per year. Alfred wants to know the minimum number of years, $$t$$, after which the value of the company's new equipment will be less than 8,000 dollar. He creates the inequality $$15,000(1.25)^{t}<8,000$$. Alfred's inequality is incorrect. Which change will correct the inequality?

Given that, Initially, the company buys $$15,000$$ dollar worth of equipment. The equipment is estimated to decrease in value at a rate of $$12.5 \%$$ per year. In $$t$$ years the value will be $$15000(1-\frac{12.5}{100})^{t}=15000(0.875)^{t}<8,000$$

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Alfred gathers data on a company that buys equipment.

The company buys $15,000$ dollar worth of equipment at the beginning of the year $2018$ .
The equipment is estimated to decrease in value at a rate of $12.5 \%$ per year.

Alfred wants to know the minimum number of years, $t$ , after which the value of the company’s new equipment will be less than 8,000 dollar. He creates the inequality $15,000(1.25)^{t}<8,000$ . Alfred’s inequality is incorrect.

Which change will correct the inequality?

replacing $0.125$ with $0.875$

replacing $0.125$ with $12.5$

replacing $8000$ with $7000$

replacing $15000$ with $2,018$

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