Exponential Context Situation

Amy did an experiment to compare the braking methods of two cars. The results are shown in the table. Which statement best describes her results?

• The speed of car 1 changed at a constant rate.

• The speed of car 1 changed at an exponential rate.

• The speed of car 2 changed at a constant rate.

• The speed of car 2 changed at an exponential rate.

Monica did an experiment to compare two methods of warming an object. The results are shown in the table. Which statement best describes her results?

• The temperature for both methods changed at a constant rate.

• The temperature for both methods changed exponentially.

• The temperature for Method 2 changed at a constant rate.

• The temperature for Method 2 changed exponentially.

Which of the following situations would represent exponential growth or decay?

• Sam mows the neighbor's yard each week for $20.

• Suzanne is raising money for her senior trip. She sells candy bars and makes $30 each week.

• Brett has $500 he put the money in a savings account which is earning 8% interest.

• Tyler earned $500 mowing yards last summer and put the money in a coffee can under his bed.

Which of the following situations would represent exponential growth or decay?

• John has $100 in his piggy bank and he puts $10 in it each week.

• Mary is gaining weight to join the wrestling team. She is currently gaining 3 pounds each week.

• Sue is going shopping and she has a coupon for 10% off her entire purchase at Kohl's.

• Jack is trying wrestle into a smaller weight class. He is losing 5% of his weight each week.

Which of the following is an example of exponential growth or decay?

• Billy is on the wrestling team. He is trying to lose 3% of his body weight each week.

• Cheyanne uses a coupon for 20% off at Old Navy.

• Kasean earned $10 each day for walking a neighbor’s dog.

• Kevin sells 5 doughnuts per day

Which scenario is best modeled by a linear function?

• the amount of pennies in the piggy bank increases by 3 each day

• the amount of radioactive element that decreases by half every x 10 year periods

• the total population of a town that has changed by 2% every x years

• the total price paid for shirts that are on sale for half off

Jasmine currently has sixteen songs downloaded in her music player. She is going to add two new songs a month. Which type of function would best model Jasmine’s total number of songs in her player after each month?

• cubic

• linear

• exponential

• quadratic

Which scenario would best be modeled by an exponential growth function?

• the salary of a worker who makes $8 every hour

• the population of a town that is doubling every decade

• the population of a virus that is reducing in number by half every hour

• the amount of commision a worker makes who earns 8% commission of his total sales

Which situation is best modeled by an exponential function?

• a restaurant charges $5.75 per meal, plus 7.5% tax

• a cab company charges a flat fee of $2.50, plus $0.45 per mile traveled

• the number of cell phone subscribers increased by 75% per year for the last 20 years

• water pressure is 14 pounds per square inch at sea level and increases an additional 14.7 pounds

A scientist studying a population of birds discovered that the number of birds doubled every year. Which function would best represent this situation?

• linear function with a growth rate of 200% every year

• linear function with a growth rate of 100% every year

• exponential function with a growth rate of 200% every year

• exponential function with a growth rate of 100% every year