Word Problems 1
Your new computer cost $1500 but it depreciates in value by about 18% each year. How much will it be worth in 6 years?
$456.01
A population of 800 beetles is growing each month at a rate of 5%. How many beetles will there be in 1 year?
1,436
What is the correct growth factor?
3.5%
1.035
What is the corresponding decay rate?
0.04
96%
How do you write the following number in scientific/standard notation?
0.00000746
7.46 x 10-6
A total of 50,000 contestants participate in an internet on-line survivor game. The game randomly eliminates 7.5% of the contestants each day. How many contestants will be left after one week?
28,970 or 28,971
A flu outbreak hits your school on Monday, with an initial number of 20 sick students coming to school. The number of sick students increases by 25% per hour. How many sick students will there be in 4 hours?
48-49
What is the correct growth rate?
2.11
111%
What is the corresponding decay factor?
49%
0.51
How do you write the following number in scientific/standard notation?
71,238.54
7.123854 x 104
A new hockey franchise was valued at $200,000,000 in its first year. In its 2nd year it was valued at $210,000,000 dollars and in its 3rd year it was valued at $2,205,000. What is the growth rate?
5%
At the end of last year, the population of Jason’s hometown was approximately 75,000 people. The population is growing at the rate of 2.4% each year. What will the population be in 6 years?
86,469
What is the correct growth factor?
82.3%
1.823
What is the corresponding decay factor?
15%
0.85
How do you write the following number in scientific/standard notation?
88,000,000,000,000
8.8 x 1013
In 2008 the stock market crashed. The value of Nike started at 18 billion dollars but dropped by 6.2% each month that year. Write an equation that models the value of Nike after any month in 2008.
y = 18b (0.938)x
The population of an endangered bird is decreasing at a rate of 0.6% per year. There are currently about 3,000 of these birds. Write an equation that models the bird population AND find the population after 9 years.
y = 3,000(0.994)x
Population = 2,841 or 2,842
What is the correct growth rate?
1.709
70.9%
What is the corresponding decay rate?
0.809
19.1%
How do you write the following number in scientific/standard notation?
0.0000406
4.06 x 10-5
Sammy was 9 years old when he inherited a rare watch from his grandfather that was valued at $125,000 and increases in value by 8.5% each year. How old will Sammy be when the watch passes $1,000,000 in value?
35 years old
Long Lake in Park Rapids had an invasive plant species. In 2005 the plant covered 800 square feet of the lake and after 3 years it covered 6,400 square feet. What is the growth factor AND growth rate?
Growth Rate: 100%
What is the correct growth rate?
2.09
109%
What is the corresponding decay rate?
0.076
92.4%
How do you write the following number in scientific/standard notation?
67,302,000
6.7302 x 107