The value of a Plasma TV bought new for $3,700 decreases 25% each year. Identify

Question

The value of a Plasma TV bought new for $3,700 decreases 25% each year. Identify the function for the value of the television. Does the function represent growth, or decay? V(t) = 3700(0.75)^t: decay V(t) = 3700(0.75)^t: growth V(t) = 3700(1.25)^t: decay V(t) = 37000(1.25)^t: growth Elizabeth opened a library with 19,000 books in the year 1998. The number of books increases at a rate of 6.49% each year. Use a graph to predict the number of books in 2020 almostequalto 75,779 almostequalto 66,824 almostequalto 80,697 almostequalto 71,160

Explanation / Answer

original price = $ 3700

decreases 25 % each year

3700 - .25(3700) ^t

3700 ( 1-0.25)^t

3700 (.75)^t

so, V(t) = 3700 (0.75)^t ...decay

option a is correct

2) initial number of books = 19000

and it increases 6.49% each year

so 2nd year it will be

19000 + .0649 (19000)

= 19,000 ( 1.0649)

function becomes

19,000 ( 1.0649)^t

where 1998 = t = 0

in 2020 plug t = 22

19000 ( 1.0649)^22

75778.81

= 75779

option a is correct

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.