A study was conducted to investigate the relationship between the resale price, y (in hundreds of dollars), and the age, x (in years), of midsize luxury American automobiles. The equation of the line of best fit was determined below.
y = 181.7 - 20.21x
(a) Find the resale value in dollars of such a car when it is 3 years old. $(b) Find the resale value in dollars of such a car when it is 6 years old. $ (c) What is the average annual decrease in the resale price in dollars of these cars? $

a. $121.07

b. $60.9

C. $20.03

Step-by-step explanation:

From the equation given

Y=181.7-20.21x

Where y is in dollars and X is in years

a. To find the resale price after 3years we have, we substitute x=3 into the given equation.

We have

y=181.7-20.21(3)

y=181.7-60.63

y=121.07

The resale price after 3years is $121.07

b. To find the resale price after 6years we have, we substitute x=6 into the given equation.

We have

y=181.7-20.21(6)

y=181.7-120.72

y=60.98

The resale price after 3years is $60.98

C. To find the average decrease per year, we have

[(x=3)-(x=6)]/3

=(121.07-60.98)/3

$20.03

Hence the average annual decrease is $20.03

a) y = 121.07 hundreds of dollars = $12,107

b) y = 60.44 hundreds of dollars = $6,044

c) Annual decrease is 20.21 hundreds of dollars

= $2,021

Step-by-step explanation:

Given:

y = 181.7 - 20.21x

Where;

y is the resale price in hundreds of dollars

x is the age in years.

a) Find the resale value in dollars of such a car when it is 3 years old.

x = 3

y = 181.7 - 20.21(3) = 181.7 - 60.63

y = 121.07 hundreds of dollars = $12,107

b) Find the resale value in dollars of such a car when it is 6 years old.

x = 6

y = 181.7 - 20.21(6) = 181.7 - 121.26

y = 60.44 hundreds of dollars = $6,044

c) What is the average annual decrease in the resale price in dollars of these cars?

The annual decrease is the slope of the equation

y = 181.7 - 20.21x

dy/dx = -20.21

Annual decrease is 20.21 hundreds of dollars

= $2,021

its 0.1 miles per minute

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.