Answer:
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
Answer:
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
