Lesson 9-3 Modeling Exponential Data

Lesson 9-3 Modeling Exponential Data

Algebra I

Multiple Choice

Write an equation to model the data.

• $$y=12,575\cdot0.88^x$$

• $$y=14,373\cdot0.90^x$$

• $$y=15,783\cdot0.88^x$$

• $$y=12,575\cdot0.75^x$$

Multiple Choice

Which equation fits the data?

• $$y=1209.10\left(1.44\right)^x$$

• $$y=1598.36\left(1.12\right)^x$$

• $$y=1779.404\left(1.21\right)^x$$

• $$y=1854.30\left(1.32\right)^x$$

Multiple Choice

What is an exponential model for this data?

• $$f\left(x\right)=77\cdot\left(0.43\right)^x$$

• $$f\left(x\right)=32\cdot0.45^x$$

• $$f\left(x\right)=75\cdot0.62^x$$

• $$f\left(x\right)=75\cdot0.73^x$$

Multiple Choice

Identify the domain.

• $$x\ge0$$

• $$x>0$$

• $$x\ge-5$$

• All Real Numbers

Multiple Choice

Identify the range.

• $$0<y\le75$$

• $$0\le y\le75$$

• All Reals

• $$-5\le y\le85$$

Multiple Choice

Identify the y-intercept.

• (0,75)

• (0,78)

• (0,0)

• (0,65)

Video Response

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Multiple Choice

$$Find\ f\left(0\right),\ f\left(4\right),\ and\ f\left(-2\right).$$

• -2, 1.23, 9.02

• -5.4, 0, 7.8

• -6.8, -25.1, -2

• -6.4, -31.5, -2.9