(a)
Write an equation that relates the age x of the car to the value y that is lost after each year.
(a)
Answer to Problem 29PPS
The equation:
Explanation of Solution
Given:
The ordered pairs are:
Concept Used:
The age x of the car to the value y that is lost after each year
So the rate of change is:
Rate of change:
Calculation:
So the rate of change is:
The points are:
Rate of change:
Rate of change is negative means the cost if depreciates $1800 per year.
The difference in y − values is 1800 times the difference of x − values.
This suggest the equation
The cost of the cars depreciates $1800 per year..
Thus, the relationship is
(b)
Find the age of the car if the value is $300
(b)
Answer to Problem 29PPS
Age of the car will be 7.5 years or 7 years 6 months.
Explanation of Solution
Given:
The ordered pairs are:
Concept Used:
The equation:
First find the values of the car when it was purchased. If after 1 year the car worth was $12,000 and it had decreased in values by $1800, its original worth was $13,800.
Next subtract its current its current value to find how much its value has decreased by
Calculation:
First find the values of the car when it was purchased. If after 1 year the car worth was $12,000 and it had decreased in values by $1800, its original worth was $13,800.
Next subtract its current its current value to find how much its value has decreased by
Substitute this value into the equation for
So, this means that the car will be worth $300 in 7.5 years or 7 years and 6 months.
Thus,age of the car will be 7.5 years or 7 years 6 months.
Chapter 3 Solutions
Algebra 1
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