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qaws [65]
3 years ago
5

In 2007, Linda purchased a house for $120,000. In 2017, the house was worth $245,000. Find the average annual rate of change in

dollars per year in the value of the house
Mathematics
1 answer:
tekilochka [14]3 years ago
6 0

Answer:

$12,500

Step-by-step explanation:

Given that, Linda purchased a house for $120,000 in 2007 and the value of the house was $245,000 in 2017.

Total change in the value of house= $245,000- $120,000=$125,000.

Total time (in years) between 2007 and 2017 = 2017-2007=10 years.

The value of the house changes by $125,000 in the time interval of 10 years.

So, the average annual rate of change in the value of the house = $125,000/10=$12500 per year.

Hence, the average annual rate of change in the value of the house is $12,500.

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The table shows the temperature of an amount of water set on a stove to boil, recorded every half minute. a 2-row table with 10
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According to the line of best fit, the value of time when the temperature reach 100°c, the boiling point of water is 5.

<h3>What is linear regression?</h3>

Linear regression is a type of regression which is used to model the statement in which the growth or decay initially with constant rate, and then slow down with respect to time.

The table shows the temperature of an amount of water set on a stove to boil, recorded every half minute. a 2-row table with 10 columns.

  • Time (minutes X)                 0, 0.5,1.0, 1.5, 2.0,2.5,3.0, 3.5, 4,  4.5.
  • Temperature (° Celsius Y)  75, 79, 83, 86, 89, 91, 93,  94, 95, 95.5.

The sum of time is 22.5 and the sum of temperature value is 880.5. In this table,

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The regression equation for this data can be given as,

\hat y=4.53939 X+77.83636

Put the value of temperature (y) 100 in this equation.

100=4.53939 X+77.83636\\X=\dfrac{100-77.83636}{4.53939}\\X\approx 5

Hence, according to the line of best fit, the value of time when the temperature reach 100°c, the boiling point of water is 5.

Learn more about the regression here;

brainly.com/question/25226042

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