Linear vs. Exponential Expressions

Linear vs. Exponential Expressions

Linear

Multiple Choice

The total cost (y) at an amusement park can be modeled by 1.5x+20 where x is the number of rides you ride. What is the price per ride?

• 1.5

• 21.5

• 0

• 20

Multiple Choice

The amusement park charges $20 to get in plus $1.50 per ride. Which linear equation below represents this relationship.

• 20x + 1.5

• 1.5x + 20

• 20x + 1.5

• 21.5x

Multiple Choice

The total cost (y) at an amusement park can be modeled by 1.5x+20 where x is the number of rides you ride. What is the entrance fee?

• 1.5

• 200

• 0

• 20

Multiple Choice

Which situation below is representative of y-intercept?

• putting $300 a month into savings

• buying $30 worth of supplies for a lemonade stand

• Spending $3 per ride at the fair

• Paying $2 for parking every day

Multiple Choice

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?

• 8.5 + 25.5

• 8.5x + 25.5

• 25.5x + 8.5

Multiple Choice

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which expression represents the relationship between the number of months the club has been opened, x, and the total fitness club membership?

• 15x

• 15x+80

• x+15

• 80x+15

Multiple Choice

Bob has $150 in his savings account and saves $40 per month.

• 150 + 40

• 40x + 150

• 150x + 40

Multiple Choice

A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each t-shirt printed with your design costs an additional $8. The equation for this situation is 8x + 25. Interpret the y-intercept in context.

• The additional fee of $8.

• The initial fee of $25.

• The additional fee of $25.

• The initial fee of $8.

Multiple Choice

A man is climbing down from 100 feet high descending 30 feet per minute.

• 100 - 30x

• 100 + 30x

• 100x + 30

• 100x - 30

Exponential

Multiple Choice

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)^t where t is the number of years since 1990. What was the population in 1990?

• 0 people

• It doesn't say

• I don't know

• 6191

Multiple Choice

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)^t where t is the number of years since 1990. What percent did the population increase each year?

• 4%

• It doesn't say

• I don't know

• 400%

Multiple Choice

Given the function f(x) = 1.07^x, how do you know the exponential function shows growth or decay?

• Growth or decay is determined by the value of the base

• Growth or decay is determined by the value of the exponent

• Because exponential functions are always growth functions

• Because exponential functions are always decay functions

Multiple Choice

Given the function f(x) = 1.07^x, how do you know this is an exponential function?

• Because the variable is in the exponent

• Because the base has a decimal in it

• Because f(x) is there

• Because my teacher told me

Multiple Choice

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?

• ^.08

• ^1.08

• .92

• 8

Multiple Choice

In an exponential function, what does the 'a' represent?

• SLOPE

• RATE OF CHANGE

• Y-INTERCEPT

• COMMON RATIO

Multiple Choice

Which of the following expressions shows an initial amount of $15 and an increase of 35% each year?

• 15(35)^x

• 15(0.35)^x

• 15(1.35)^x

• 35(1.15)^x

Multiple Choice

What expression represents the following scenario?

You have 4 dollars. Every month, your money triples.

• 3(4)^x

• 4(3)^x

• 3x+4

Multiple Choice

In an exponential function, what does the 'a' represent?

• TIME

• RATE

• INITIAL AMOUNT

• ANSWER

Multiple Choice

Does the following equation show growth or decay?
y=10,000*(0.76)^x

• Growth 
• Decay

Multiple Choice

Does the following equation show growth or decay?
y=10,000*1.26^x

• Growth 
• Decay

Multiple Choice

The number of research papers in Professor Sycamore area of expertise has been increasing by 5% every year. Given that 30,010 research papers were published this year. Assuming the trend continues, which expression projects the amount of research papers published in x years?

• 30,010 (.05)^x

• 30,010 (1.05)^x

• 30,010 (.95)^x

• 30,010 (5)^x

Multiple Choice

Due to its weakening steel industry, Canalave Town has been experiencing a population decline of 10% every year. The current population is 74,000 people. Assuming the trend continues, which expression projects the population in x years?

• 74,000 (0.10)^x

• 74,000 (0.90)^x

• 74,000 (1.10)^x

• 74,000 (1.90)^x