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evelin2318
17.02.2020 •
Mathematics
In 1999, there were 41,275 shopping centers in a certain country. In 2009, there were 48,199.
A) write an equation expressing the number y of shopping centers in terms of the number x of years after 1999.
B) when will the number of shopping centers reach 80,000?
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Ответ:
a)![y(x) = 692.4x + 41275](/tpl/images/0513/5136/859b3.png)
b) The number of shopping centers will reach 80,000 in 2055.
Step-by-step explanation:
The number of shopping centers in the city may be expressed by the following equation
In which y is the number of shopping centers, x is the number of years, a is the slope(average rate of change) and b is the initial number of shopping centers.
In 1999, there were 41,275 shopping centers in a certain country
This means that![b = 41275](/tpl/images/0513/5136/be095.png)
In 2009, there were 48,199.
2009 is 10 years after 1999. So
A) write an equation expressing the number y of shopping centers in terms of the number x of years after 1999.
Applying what we have, we can find a.
So
B) when will the number of shopping centers reach 80,000?
This is x years after 1999, when y(x) = 80,000. So
1999 + 56 = 2055
So the number of shopping centers will reach 80,000 in 2055.
Ответ: