More Exponential Word Problems

The population of Winnemucca, Nevada, can be modeled by  $P\left(t\right)=6191\left(1.04\right)^t$   where t is the number of years since 1990. Select all the statements that are true about this situation

• There growth factor per day is 1.04.

• The growth factor per year is 1.04.

• There was 6191 people living in Winnemucca in 1990.

• In 1991 there were about 6438 people living in Winnemucca

• The growth factor per hour is  $1.04^{\frac{1}{24}}$  

Tags

CCSS.HSF-IF.C.8B

A city doubles its size every 64 years. If the population is currently 225,000, what will the population be in 128 years?

• The population will be 225,000.

• The population will be 450,000.

• The population will be 900,000.

• The population will be 1,800,000.

The original value of a painting is $1400, and the next year it increased to $1526. Write an exponential growth function to model this situation for y in x years.

• y=1400(1.09)^x

• y=1.09(1400)^x

• y=1400(.91)^x

• y=1.09^x

Tags

CCSS.HSF.LE.A.2

Write an equation that models the following situation:

Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew to 12 in 2 weeks.

• $y=6\left(2\right)^x$

• $y=6\left(\sqrt{2}\right)^x$

• $y=6\left(1+2\right)^x$

• $y=6\left(0.5\right)^x$

Tags

CCSS.HSF.LE.A.2

Scientists measure a bacteria population and find that it is 1500. Four days later, they find that the population has doubled. Which function  could describe the bacteria population  days after the scientists first measured it, assuming it grows exponentially?

•  $f\left(d\right)=1500\cdot2^d$  

•  $f\left(d\right)=1500\cdot\left(2^{\frac{1}{4}}\right)^d$  

•  $f\left(d\right)=1500\cdot\left(\frac{1}{2^{\frac{1}{4}}}\right)^d$  

•  $f\left(d\right)=1500\cdot2^{4d}$  

Tags

CCSS.HSF.LE.A.2

What type of function does the equation y = 2^x represent?

• Exponential Growth

• Exponential Decay

• Linear

• Quadratic

What type of function does the equation f(x) = 200(0.79)^x represent?

• Exponential Growth

• Exponential Decay

• Linear

• Quadratic

Tags

CCSS.HSF-IF.C.8B

Is this exponential growth or decay?

• Growth
• Decay

Tags

CCSS.HSF-IF.C.7E

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

• SLOPE
• RATE OF CHANGE
• Y-INTERCEPT
• COMMON RATIO

Tags

CCSS.HSF.LE.B.5

The area, in square meters, of a pond covered by an algae bloom decreases exponentially after a treatment is applied. What is the value after 4 days?

• $13\frac{1}{3}$

• $20$

• $40\sqrt{3}$

• $40\sqrt{2}$