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dolphi86 [110]
2 years ago
10

Interpolate the median sales price of single family homes sold in June 1995

Mathematics
1 answer:
vovikov84 [41]2 years ago
5 0
Two interpolate you need two points.

Then you assume that there is a linear correlation between those points and so you can derive the value of mid point.

You have a table with median sale prices of single family homes sold for the years from 1975 to 1995.

In this case you have to use the median sale price of single family homes sold at two years: 1994 and 1995.

You assume that the prices of the table are for the end of the year, then the  price sold in June 1995 is right in the middle of the sold price in1994 and 1995.

So, the interpolation will give to [price in 1994 + price 1995] / 2 = [140,400 + 141,400] / 2 = 140,900

Answer: 140,900


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(a) The explicit rule to model the sequence formed by the number of seats in each row is a_{n}=15+3n

(b) The 35th row has 120 seats

Step-by-step explanation:

The rule of the nth term of an arithmetic sequence is

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  • d is the common difference between each two consecutive terms

∵ There are 18 seats in the 1st row

∵ There are 21 seats in the 2nd row

∵ 21 - 18 = 3

∵ The number of seats is increased by 3 with each additional row

- The number of seats in each row represents an arithmetic

   sequence because there is a common difference between

   each two consecutive rows

∴ The number of seats in each row formed an arithmetic sequence

∵ The number of seats in the first row = 18 seats

∴ a = 18

∵ The number of seats in a row continues to increase by 3 with each

   additional row

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- Substitute the values of a and d in the rule of nth term

∴ a_{n}=18+(n-1)3

- Simplify the right hand side

∴ a_{n}=18+3n-3

- Add like terms

∴ a_{n}=15+3n

(a) The explicit rule to model the sequence formed by the number of seats in each row is a_{n}=15+3n

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- Substitute a_{n} by 120 in the rule above

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- Subtract 15 from both sides

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∴ The number of the row is 35

(b) The 35th row has 120 seats

Learn more:

You can learn more about the sequences in brainly.com/question/7221312

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