Exponential vs Linear

The data shown in the table below represents either a linear or exponential function. Which of the equations below best models this data?

• $y=5\left(2\right)^x$

• $y=10\left(2\right)^x$

• $y=2x+10$

• $y=10x+5$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Two functions are shown in the table to the right. Which of the following statements is true?

• f(x) is linear and g(x) is exponential

• f(x) is exponential and g(x) is linear

• f(x) and g(x) are both linear

• f(x) and g(x) are both exponential

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

The number of cookies in a cookie jar is decreasing over time. Which of the following functions could model c(x), the number of cookies left after x days?

• $c\left(x\right)=88^x$

• $c\left(x\right)=88\left(1.12\right)^x$

• $c\left(x\right)=88\left(2\right)^x$

• $c\left(x\right)=88\left(0.87\right)^x$

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

Given a linear function  $f\left(x\right)=3x$  and an exponential function  $g\left(x\right)=3^x$ , which function has a constant rate of change?

• f(x)

• g(x)

• both

• neither

Tags

CCSS.HSF.LE.A.1

CCSS.HSS.ID.C.7

Given a linear function $f\left(x\right)=3x$  and an exponential function  $g\left(x\right)=3^x$ , which function has a y-intercept at (0,0)?

• f(x)

• g(x)

• both

• neither

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

A flu outbreak hits your school on Monday, with an initial number of 20 ill students coming to school. The number of ill students increases by 25% per hour. Is this an example of exponential growth or exponential decay?

• exponential growth

• exponential decay

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

A flu outbreak hits your school on Monday, with an initial number of 20 ill students coming to school. The number of ill students increases by 25% per hour.

Write an exponential function to model this Monday flu outbreak.

• $y=20\left(1.25\right)^x$

• $y=20\left(.75\right)^x$

• $y=25\left(1.2\right)^x$

• $y=20^x$

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

A flu outbreak hits your school on Monday, with an initial number of 20 ill students coming to school. The number of ill students increases by 25% per hour. How many students will be ill after 6 hours if this pattern continues?

• 76 students

• 74 students

• 4 students

• 1 student

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

At the end of last year, the population of Jason’s hometown was approximately 75,000 people. The population is growing at a rate of 2.4% each year. Which equation models the growth of this city?

• $y=75000\left(1.24\right)^x$

• $y=75000\left(0.76\right)^x$

• $y=75000\left(1.024\right)^x$

• $y=75000\left(0.976\right)^x$

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

At the end of last year, the population of Jason’s hometown was approximately 75,000 people. The population is growing at a rate of 2.4% each year. How many years will it take for the population to reach 100,000 people?

• 2 years

• 13 years

• 10 years

• 3 years

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2