Writing Exponential Equations

A population of bees starts out with 10 bees and doubles every day.

• $y=10\left(2\right)^x$

• $y=10\left(2\right)^{\frac{x}{2}}$

• $y=2\left(10\right)^x$

• $y=10\left(\frac{1}{2}\right)^x$

Tags

CCSS.HSF.LE.A.2

A NCAA tournament starts out with 64 teams. Every round half the teams are eliminated.

• $y=64\left(2\right)^x$

• $y=64\left(\frac{1}{2}\right)^2$

• $y=64\left(\frac{1}{2}\right)^x$

• $y=64\left(2\right)^{\frac{x}{2}}$

Tags

CCSS.HSF.LE.A.2

Bacteria on old cheese starts out with 15 bacteria and triples every 2 hours.

• $y=15\left(3\right)^x$

• $y=15\left(3\right)^{\frac{2}{x}}$

• $y=3\left(15\right)^{\frac{x}{2}}$

• $y=15\left(3\right)^{\frac{x}{2}}$

Tags

CCSS.HSF.LE.A.2

The population of carp is cut in half every day. The population starts out with 1500 carp.

• $y=1500\left(\frac{1}{2}\right)^x$

• $y=1500\left(2\right)^x$

• $y=1500\left(\frac{1}{2}\right)^{\frac{x}{2}}$

• $y=\frac{1}{2}\left(1500\right)^x$

Tags

CCSS.HSF.LE.A.2

Which equation is an exponential equation?

• $y=3x+15$

• $y=0.5x+10$

• $y=3\left(2\right)^x$

• $y=300-10x$

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

A population of ants quadruples every day. Initially, there are 10 ants.

• $y=4\left(10\right)^x$
  

• $y=10\left(x\right)^4$

• $y=10\left(4\right)^x$

• $y=10\left(4x\right)$

Tags

CCSS.HSF.LE.A.2

A tennis tournament starts out with 128 teams and the teams are eliminated by half each round.

Tags

CCSS.HSF.LE.A.2

The bacteria on an old pizza starts out with 5 bacteria and doubles every 4 days.

Tags

CCSS.HSF.LE.A.2

A wishing well starts out with 40 coins and triples every day.

Tags

CCSS.HSF.LE.A.2

A type of bacteria doubles every 4 hours. A Petri dish starts out with 16 of these bacteria.

• $y=2\left(16\right)^{\frac{x}{4}}$
  

• $y=16\left(2\right)^{\frac{x}{4}}$

• $y=16\left(4\right)^{\frac{x}{2}}$
  

• $y=16\left(2\right)^x$

Tags

CCSS.HSF.LE.A.2