An entrepreneur makes a business plan for her new company.Year 2024 2025 2026 2027Number of employees 3 6 12 24Number of clients 0 5 10 20Income ($ million) 0 0.5 2 3.5Profit ($ million) −0.3 0.1 0.5 0.9Which quantity increases linearly with the year?A. number of employeesB. number of clientsC. incomeD. profit
Question
An entrepreneur makes a business plan for her new company.Year 2024 2025 2026 2027Number of employees 3 6 12 24Number of clients 0 5 10 20Income ( million) −0.3 0.1 0.5 0.9Which quantity increases linearly with the year?A. number of employeesB. number of clientsC. incomeD. profit
Solution
The quantity that increases linearly with the year is B. number of clients.
Here's why:
A linear increase means that the quantity increases by the same amount each year.
If we look at the number of employees, it doubles each year (3 to 6, 6 to 12, 12 to 24), so it's not a linear increase.
The number of clients increases by 5 each year (0 to 5, 5 to 10, 10 to 20), so it is a linear increase.
The income doesn't increase by the same amount each year (0 to 0.5, 0.5 to 2, 2 to 3.5), so it's not a linear increase.
The profit also doesn't increase by the same amount each year (-0.3 to 0.1, 0.1 to 0.5, 0.5 to 0.9), so it's not a linear increase.
Therefore, the only quantity that increases linearly with the year is the number of clients.
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