![mtropical6753](/avatars/12308.jpg)
mtropical6753
18.07.2020 •
Mathematics
Angelique is thinking about buying a house for $179,000. The table below shows the projected value of two different houses for three years. Number of years 1 2 3 House 1 (value in dollars) 186,160 193,606.40 201,350.66 House 2 (value in dollars) 190,000 201,000 212,000 Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points) Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points) Part C: Angelique wants to purchase a house that would have the greatest value in 30 years. Will there be any significant difference in the value of either house after 30 years? Explain your answer, and show the value of each house after 30 years. (4 points)
Solved
Show answers
More tips
- S Science and Technology The Metric System in Our Daily Life: Understanding Its Importance...
- H Health and Medicine Angina: Causes, Symptoms, and Treatment...
- C Computers and Internet How to Learn to Type Fast?...
- F Food and Cooking Delight for Gourmets: How to Prepare Liver Pate...
- S Style and Beauty How to braid friendship bracelets?...
- H Health and Medicine Mercury Thermometer Danger: What to do when a thermometer breaks?...
- F Food and Cooking Which Calamari Salad is the Most Delicious?...
- S Society and Politics 10 Tips for Boosting Your Self-Esteem...
- F Food and Cooking The Most Delicious and Simple Fish in Batter Recipe...
- H Health and Medicine What is Autism? Understanding the Basics of This Neurodevelopmental Disorder...
Answers on questions: Mathematics
- M Mathematics Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Find the area of the triangle....
- M Mathematics Plz help I will mark brainliest if u help me...
- M Mathematics Evaluate the expression for c= -15 and d = -1. cd + d =...
- M Mathematics Marlowe earned $5,000 over the summer. • He spent $800 of his earnings. • He invested the remainder into an account that pays 3.5% interest compounded annually. Which equation represents...
- M Mathematics 50 POINTS !! Part B - Using squares 1, 2, and 3, and eight copies of the original triangle, you can create squares 4 and 5 e. Keep the square 4 and square 5 window open. You will...
- M Mathematics Which is the graph of linear inequality 6x + 2y –10? NO PICTURES PLZZ...
- M Mathematics In 2000, the total amount of paper and paperboard recycled in the United States was 37 million tons. The population of the United States in 2000 was 281.4 million. On average, how...
- M Mathematics Which shows the expressions in the order they would appear on a number line from least to greatest? a 2 to the power of 3, square root of 5, square root of 20, square root of 11,...
- M Mathematics The graph of function p is shown on the grid. The coordinates of the x-intercepts, the y-intercepts, and the vertex are integers. What is the minimum value of p?...
- M Mathematics Yes?? Pls be right. This is veryyyy important...
Ответ:
Part A:
Linear function
Part B:
House 1; f(x) = 7595.3·x + 178515
House 2; f(x) = 11,000·x + 179000
Part C:
Yes, there will be a significance difference
The value of house 1 after 30 years is $406,374
The value of house 2 after 30 years is $509,000
Step-by-step explanation:
The given values are
House 1
Year 1, 186,160
Year 2, 193606.40
Year 3, 201350.66
We see that the prices of the houses have a common difference given as follows;
201,350.66 - 193606.40 = 7744.26,
193,606.40 - 186,160 = 7446.4
Which is fairly constant giving a linear function of the house after a fixed number of years
House 2
Year 1, 190,000
Year 2, 201,000
Year 3, 212,000
We see that the prices of the houses have a common difference given as follows;
212,000 - 201,000 = 11,000,
201,000 - 190,000 = 11,000
Which is fairly constant
Which is fairly constant giving a linear function of the house after a fixed number of years
Part B:
The function for the first house is given by the regression formula from regression analysis
Y = a + b·X
Where:
X = Value of the house at Year Y
Y = The year
Which gives;
f(x) = 7595.3·x + 178515
The function for the first house is given by the arithmetic progression also by regression analysis as follows;
f(x) = 11,000·x + 179000
Part C
The value of house 1 after 30 years = 7595.3×30 + 178515 = $406,374
The value of house 2 after 30 years = 11,000×30 + 179000 = $509,000
Yes, there will be a significance difference between house 2 and house 1 to about 509,000 - 406,374 = $102,626.
Ответ:
A) The slope of the line would be 6. This is found by using the point slope formula; (y2-y1)/(x2-x1). It would be shown as (10-(-2))/(4-6) which is simplified to 6.
B) The point slope form equation is y=mx+b so we need to find the y intercept. We do this by plugging in all the numbers we have so far and a point we were given in the beginning. If we plug everthing in it would look something like this -2=6(4)+b. When we solve, b=-26. Since its asking for us to write it in point-slope form, it would be like y+2=6(x-4). The point-slope form is y-y1=m(x-x1)
C) The equation of the line in slope intercept form is y=6x-26. All work is shown previously.