Linear vs Exponential

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.

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CCSS.HSF-LE.A.1C

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.

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CCSS.HSF-LE.A.1A

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.

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CCSS.HSF-LE.A.1C

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.

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CCSS.HSF-LE.A.1C

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

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CCSS.HSF-LE.A.1C

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

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CCSS.8.F.A.3

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

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CCSS.HSF-LE.A.1A

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

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CCSS.HSF.LE.A.2