Math I Review 1 (Determine Meaning)

Tracy’s new car lease costs her $169 a month for a total of 39 months. She put $1,500 down at signing and keeps track each month of the total amount she has spent. Which function could represent the total amount of money Tracy has spent on her lease based on the number of months, x, she has paid? 

• y = 169x + 1500 
• y = 169(x + 1500)
• y = (169 + 1500)x
• y = 1500x + 169 

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Many times a tweet will be tweeted and then retweeted with the possible number of retweets growing exponentially. Manuel modeled this phenomenon with the function f(x) = 3(2 ), using x to represent the number of intervals in which the tweet was retweeted. Which statement about Manuel’s function is true?

• There were 2 original tweets. 
• There are 3 times 2 or 6 retweets at each level
• At each interval, the number of retweets doubles
• A tweet can be retweeted a maximum of 3 times. 

Tags

CCSS.HSF.LE.B.5

California’s growth rate in 2013 was 0.9%. There were roughly 38 million people living in California that year. Assuming the growth rate is stable, which equation models the population P, in millions, t years after 2013? 

• A. P = 38(1.009)^t
• B. P = 38(1.09)^t
• C. P = 38(1.9)^t
• D. P = 38(0.9)^t

Tags

CCSS.HSF.LE.A.2

After a dose of an antibiotic, the number of bacteria decreases. If the equation y= 27,000(⅓)^x models this “decay” situation, which value represents the original number of bacteria?

• 3000
• 9000 
• 27,000 
• 81,000 

Tags

CCSS.HSF.LE.B.5

Ice bucket challenges for various causes have become quite common on social media. Participants challenge others to dump a bucket of ice water over their head or make a donation. The number of people participating in a challenge is an example of exponential growth and might be modeled by a function such as f(x) = 2(2.5)^x . What does the 2.5 in this function represent? 

• the average number of people each person challenged
• the average number of people who started the challenge
• the average number of gallons used in each person’s challenge
• the average number of times each person participated in the challenge

Tags

CCSS.HSF.LE.B.5

The number of bottles of water in a pantry after a delivery can be modeled by the function f(x) = 24x+35  , where x is the number of cases of bottled water delivered. Which statement is true? 

• Each case of water contains 24 bottles
• Each case of water contains 35 bottles
• There were 24 bottles of water in the pantry before the delivery
• There were 59 bottles of water in the pantry before the delivery

Tags

CCSS.HSF.LE.B.5

The number of maps remaining at an information booth can be modeled by the function f(x) = 234-32x where x is the number of hours that have elapsed since the booth opened. Which statement is true? 

• Every hour, 274 maps are given away. 
• Every hour, 242 maps are given away. 
• There were 32 maps at the booth before it opened
• There were 274 maps at the booth before it opened. 

Tags

CCSS.HSF.LE.B.5

The population of a small town can be modeled by  
y= 4,800(1.02)^t the equation where t is the number of years since the collection of the population data began. Which statement is true?

• The population grows at a rate of 102% each year
• The population will reach a maximum of 4800 people
• The population was 4800 when the collection of population data began
• The population grew by 102 people each year since the collection of population data began

Tags

CCSS.HSF-IF.C.8B

Which situation can be represented with a linear graph where the volume of water in a tub is a function of time?

• A faucet pumps water into a tub at a rate of 2 gallons per minute
• A tub loses one-fifth of the remaining water each minute as it is drained. 
• A tub is filled at a rate of 2 gallons per minute and then drained at a rate of 3 gallons per minute.
• A faucet pumps water into a tub at a rate of 3 gallons per minute as 5% of its volume is drained per minute. 

Tags

CCSS.8.EE.B.5

In the equation F= (9/5)C + 32 relating Fahrenheit (F) and Celsius (C) temperature, , what is the interpretation of the coefficient of C? 

• It is the ratio of any Fahrenheit temperature to the corresponding Celsius temperature. 
• It is the ratio of any Celsius temperature to the corresponding Fahrenheit temperature. 
• As the Fahrenheit temperature increases by 5°, the Celsius temperature increases by 9°. 
• As the Fahrenheit temperature increases by 9°, the Celsius temperature increases by 5°. 

Tags

CCSS.8.EE.B.5