Vanessa has 3 bottles of ceramic glaze for her art project. She buys 5 more bottles. If she uses 1/4 of a bottle of glaze to coa
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Answer
The function represents the car’s value after x years.
f(x) = 20,000(0.85)x
Reason
As given
Terrence buys a new car for $20,000.
The value of the car depreciates by 15% each year.
15 % is written in the decimal form
= 0.15
Thus
The decrease in the value of car is represented by = a (1 - r)× t
Where a is the original cost
r is the depreciates rate in decimal form
t is time in years.
Here a = $20000 ,r = 0.15 , t = x years
The value of car after x years = 20,000 (1 -0.15)x
= 20000(0.85)x
Therefore the the value of the car after x years is represented by f(x) = 20,000(0.85)x .
Let x represent number of bracelets and y represent number of necklaces.
We have been given that a jeweler made 7 more necklaces than bracelets. This means that number of necklaces will be . We can represent this information in an equation as:
We have been given that the amount of gold in each bracelet is 6 grams, so amount used for x bracelets would be grams.
We are also told that the amount of gold in each necklace is 16 grams, so amount used for y necklaces would be grams.
Since the jeweler used 178 grams of gold, so we will equate the amount of gold used in x bracelets and y necklaces with 178 as:
Therefore, our required system of equations would be: