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.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

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.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

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.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

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.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

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.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

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

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

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.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5