The table below shows the number of new restaurants in a fast food chain that opened during the years of 1988 through 1992. Using an exponential model, WRITE THE EQUATION for the curve of best fit. (Do steps 1, 2, & 3 from your directions card). For L1: Use 0, 1, 2, 3, 4 For L2: Use New Restaurant numbers. Find a, b, and write the equation. Round to 2 decimals for a & b.

a=50.55 b=1.49 $$f\left(x\right)=50.55\cdot1.49^x$$

a=50.55 b=1.49 $$f\left(x\right)=1.49\cdot50.55^x$$

a=49.5 b=31.8 $$f\left(x\right)=49.5x+31.8$$

a=31.8 b=49.5 $$f\left(x\right)=31.8x+49.5$$

The population (in thousands) of a town during certain years is given in the table below. WHICH MODEL would best fit this data: linear, quadratic, or exponential? Choose the model that best fits the data (find the $$r^2$$ value for each). Identify the correct model to represent the data. For L1: Use 0, 10, 20, 30, 40 For L2: Use Population numbers Round $$r^2$$ to 4 decimal places.

Linear: 0.9256 Quadratic: 0.9993 Exponential: 0.9656 Model: Quadratic

Linear: 0.9256 Quadratic: 0.9993 Exponential: 0.9656 Model: Exponential

Linear: 0.9621 Quadratic: 1 Exponential: 0.9827 Model: Quadratic

Linear: 0.9745 Quadratic: 0.9412 Exponential: 0.9234 Model: Linear

ALG2 Unit 7 Test

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HSF.BF.B.5, HSF.LE.A.2

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Aubrey Larson

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MULTIPLE CHOICE QUESTION

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CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

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MULTIPLE CHOICE QUESTION

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