Linear vs Exponential Practice Test

A(n) _________________ function will ADD the same number each time.

• Linear

• Exponential

• Neither

A(n) _________________ function will MULTIPLY the same number each time.

• Linear

• Exponential

• Neither

The iPhone X is valued at $1000 upon purchase. The value is expected to decrease by 14% each year. Is this exponential growth or decay?

• Growth

• Decay

• Neither

The iPhone X is valued at $1000 upon purchase. The value is expected to decrease by 14% each year. Which function matches the situation?

• f(t)=1000-0.14t

• f(t)=1000(.14)^t

• f(t)=1000(.86)^t

• f(t)=1000-0.86t

The iPhone X is valued at $1000 upon purchase. The value is expected to decrease by 14% each year. How much will the iPhone X be worth 3 years after it's release?

• $1481.54

• $636.06

• $2.74

• $958

The population of Cary, NC in the year 2000 was 97,400 people. The population steadily grew by 2.5% each year. Is this exponential growth or decay?

• Growth

• Decay

• Neither

The population of Cary, NC in the year 2000 was 97,400 people. The population steadily grew by 2.5% each year. Which function relates to the situation?

• f(t)=97400+2.5t

• f(t)=97400(2.5)^t

• f(t)=97400(1.25)^t

• f(t)=97400(1.025)^t

The population of Cary, NC in the year 2000 was 97,400 people. The population steadily grew by 2.5% each year. About how many people lived in Cary, NC in the year 2007?

• 115,778 people

• 81,581 people

• 97,417 people

• 59,448,242 people

A new gym opens in the area. When it opens, there are only 20 members. Each year, the gym gains 100 more members. What type of function is this?

• Linear

• Exponential

A new gym opens in the area. When it opens, there are only 20 members. Each year, the gym gains 100 more members.

Write an equation to represent this situation.

• $f\left(t\right)=100t+20$

• $f\left(t\right)=20\left(100\right)^t$

• $f\left(t\right)=100\left(20\right)^t$

• $f\left(t\right)=20x+100$