2.3 Real World Applications

2.3 Real World Applications

Multiple Choice

Roberto began his collection of trading cards when his grandfather presented him with a set of 22 cards. Each week, he added 5 cards to his collection. His collection grew by the sequence 22, 27, 32, 37,...

How many cards did he have at the end of the 10th week?

• 67

• 72

• 62

• 76

Multiple Choice

Sam created a website for online shopping. The website got 497-page views the first day. The number of page views doubled every day. Which sequence best describes the number of page views for 5 consecutive days?

• 497, 994, 1988, 3976, 7952

• 994, 1988, 3976, 7952, 15904

• 497, 994, 1988, 2982, 3976

• 994,1988, 2982, 3976, 4970

Multiple Choice

The first year of an annual conference, 800 tickets were made available to the public. Each year after that, the number of available tickets increased by 9% from the previous year. Choose the equation below that gives the number of tickets available to the public, Tn, after n years. 

•  $T_n=T_{\left(n-1\right)}\cdot1.09\ for\ n>1$   $T_1=728$  

•  $T_n=T_{\left(n-1\right)}\cdot0.09\ for\ n>1$   $T_1=728$  

•  $T_n=T_{\left(n-1\right)}\cdot0.91\ for\ n>1$   $T_1=800$  

•  $T_n=T_{\left(n-1\right)}\cdot1.09\ for\ n>1$   $T_1=800$  

Multiple Choice

In 2002, there were 972 students enrolled at Oakview High School. Since then, the number of students has increased by 1.5% each year. Write an exponential function to model the situation, then find the number of students enrolled in 2014.

• $y=12\left(1.015\right)^{972}$
  195,104 students
  

• $y=972\left(0.985\right)^{12}$
  811 students

• $y=972\left(1.015\right)^{12}$
  1,162 students

• $y=0.015\left(972\right)^{12}$
  1,205,193 students

Multiple Choice

Mark bought a brand new car for $35,000 in 2008. If the car depreciates in value approximately 8% each year, write an exponential function to model the situation. Then, find the value of the car in 2015.

• $y=0.92\left(35000\right)^7$
  $10,193.29

• $y=35000\left(0.92\right)^7$
  $19,524.63

• $y=35000\left(1.08\right)^7$
  $59,983.84

• $y=0.08\left(7\right)^{35000}$
  $468.38

Multiple Choice

Jack took out a 6-year loan for $25000 to purchase a new boat at a 4.5% interest rate. If the interest is compounded monthly, what will he have paid in total over the course of the loan?

• $1,125

• $25,568.50

• $26,148.50

• $32,732.58

Multiple Choice

A savings account offers 0.8% interest compounded bimonthly. If Bob deposited $300 into this account, how much interest will he earn after 10 years?

• $324.98

• $24.98

• $300

• $50.87

Open Ended

Do you have any questions about this lesson?