A rectangle has vertices at (Negative1, 6), (Negative1, Negative2), (3, 6), and (3, Negative 2). Sara says the area of the rectangle is 16 square units and her work is shown below.

Steps

Sara’s Work

Step 1

Base: StartAbsoluteValue negative 1 EndAbsoluteValue + StartAbsoluteValue 3 EndAbsoluteValue = 4

Step 2

Height: StartAbsoluteValue 6 EndAbsoluteValue + StartAbsoluteValue negative 2 EndAbsoluteValue = 4

Step 3

Area: 4 times 4 = 16 square units

Where, if at all, did Sara first make a mistake in finding the area of the rectangle?

Step 1

Step 2

Step 3

no mistake

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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so then what are you asking?

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