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1 answer:
A. The decrease in Car 1 value is constant at 6000 from year to year. Its value can be described by a linear function.
The decrease in Car 2 value is a constant percentage of its current value from year to year. Its value can be described by an exponential function.
B. The slope of the Car 1 function is -6000, and the value is 32000 in year 1, so the value function for Car 1 can be written as
... f(x) = 32000 -6000(x-1)
... f(x) = 38000 -6000x
The value multiplier for Car 2 from year to year is 27455/32300 = 0.85, so the value function for Car 2 can be written as
... f(x) = 32,300·0.85^(x-1)
... f(x) = 38000·0.85^x
C. There is a significant difference in value after 5 years. Car 2 is worth more than double the value of Car 1 in year 5. That year, their values are ...
... car 1: $8000
... car 2: $16861
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Answer:
Perimeter of the rectangle = 96 meters.
Step-by-step explanation:
Let the width of the rectangle = K
So, the length of the rectangle = 5K
Area = 320 sq meters
Now, Area of a Rectangle = Length x Width
⇒ 320 = K x 5K
or,
So, the vlue of K = 8 or, K = -8
But as K represents a length hence, K ≠ -8
So, the <u>width of the rectangle = 8 meters</u>
and the<u> length of the rectangle = 8 x 5 = 40 meters</u>
Now, Perimeter = 2(length + width)
= 2(8 + 40) = 96 meters.
So, the perimeter of the rectangle = 96 meters.