Linear vs. Exponential Expressions

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?

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

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?

Which situation below is representative of y-intercept?

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

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?

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

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.

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

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?

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?

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

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

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

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

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

What expression represents the following scenario?

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

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

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?

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?