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mina [271]
3 years ago
15

A home is purchased for $60,000 in 2001 and sold for $225,000 in 2021. Plot this on a graph. Then draw 2 lines, 1 mapping a line

ar relationship, and the other mapping an exponential one.
A. What is the average rate of change
B. Which model (linear or exponential) has a higher rate of change from 2010-2021?
C. What is the approximate value of the linear model in 2008?
Mathematics
1 answer:
astraxan [27]3 years ago
6 0

Answer:

a. 3.6

b Linear

c. 2.13333

Plot a graph going up vertically by amounts 30,000  would be = 1

60,.000 would be = 2, 90,000 would be = 3 etc.

225,000 would show between 7 and 8. where marks of 15/30 = 1/2 would be counted back from 240,000 to 225,000 and between 210,000 to 240,000

After mapping the x rate must be 1 for both linear and for exponential.

The average rate of change is found when 60k = 2  and 225k = 7.5 is increasing and years shown 2001 to 2021 are shown on x axis.

=  20 years

Therefore linear shows 2 when x = 1 then shows 7.5 when x = 20

20/7.5 = 2.6

Therefore, this relationship is linear because each yyy-value is 7.5/20 more than the value before it. The x value goes up by 1 each value of 0.37 for y

When the value is exponential the y value should go up by 1 and as it is 30,000 each 1 value and x =1 goes up 2 2/3 = 2.6667 for every 30.000k to every x value.

A. 2 -2 2/3  = 2.31555.. average rate of change.for exponential  and between 3.5 and 3.7 = 3.6 average rate of change for linear.

B linear

C 2008 = 8 YEARS 8/20 X 2 = 0.8

0.8 X 2  2/3= 2.13333333 is the app value of the linear model 2008.

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7nadin3 [17]

answers

1) 70

2) 3,840

3) 24

4) 72


<u>Explanation</u>

Q1

The surface area of a cone is given by;

S.A = 2Πrl + Πr²

Where r is the radius of the base and l is the lateral height.

Πr² = area of the base = 20 in²

2Πrl = Area of the lateral surface

         = 2.5 × 20

          = 50

Area of the cone = 50 + 20

                            = 70 in²

Q2

The sides of the Pythagorean triangle with legs of 12 and 16.

The 3rd side will be;

c = √(12² + 16²)

  = √400 = 20

Volume = 12 × 16 × 20

              = 3,840

Q3

The volume of a cone is given by;

volume = 1/3 Π r² h

This shows that the volume of a cone is a third the volume of the cylinder.

∴ Volume of the cylinder = 12 × 3

                                            = 24 ft³

Q4

The volume of any regular figure is;

Volume = base area × height

When the dimensions area usually 3. Let these dimensions be x, y and z.

∴ volume  = x × y × z = 9

  Doubling the dimensions;

Volume = 2x × 2y × 2z = 2 × 2 × 2 × 9

             = 8 × xyz = 8 × 9

             = 72 ft²



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