Answer:
In the year of [tex]2022[/tex]
Step-by-step explanation:
In [tex]2001[/tex] number of stores[tex]=4818[/tex]
In [tex]2013[/tex] number of stores[tex]=4986[/tex]
Increase in the number of stores[tex]=4986-4818=168[/tex]
Years[tex]=2013-2001=12[/tex]
Per year increase in the number of stores[tex]=\frac{168}{12}=14[/tex]
Let after [tex]x\ years[/tex] (counting from [tex]2001[/tex]) number of stores[tex]=5100[/tex]
Increase in the number of stores[tex]=5100-4818=282\\[/tex]
[tex]Per\ year\ increase\times number\ of\ years=total\ increase\\\\14\times x=282\\\\x=\frac{282}{14}\\\\x=20.14\\\\Hence\ year=2001+20.14=2021.14[/tex]
So there will be [tex]5100[/tex] stores in the year [tex]2022[/tex].
The number of year should be 2022.
The increase in the no of stores should be
= 5,100 - 4,818
= 282
And, the per year increase should be
[tex]= ((4986 - 4818) \div (2013 - 2001)\\\\= 168 \div 12[/tex]
= 14
So,
= 2001 + [tex]282 \div 14[/tex]
= 2001 + 20.14
= 2022
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