NC Math 3 A-SSE.1A

In 2020, anyone earning $137,700 or less per year was charged a social security tax of 6.2% of their earnings. If their income was more than $137,700, they were charged a fixed amount of $8,500.00. If 𝑥 represents annual income in thousands of dollars, which piecewise function models the amount of social security tax charged for those earnings?

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NC.M3.A-SSE.1.a

A thermostat set at 𝑑 degrees will activate an air conditioner if the actual temperature, 𝑎 degrees, is within 0.5 degrees either more or less than 𝑑. Which inequality gives the range of possible actual temperatures that would activate the air conditioning?

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NC.M3.A-SSE.1.a

• the total number of new club members

• the amount that each of the original members would contribute

• the average of the original and new amounts that all members will contribute

• the number of original club members

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NC.M3.A-SSE.1.a

• 1.2%

• 3.2%

• 64.8%

• 129.6%

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NC.M3.A-SSE.1.a

• a diagonal of the cube

• the radius of a base of the cylinder

• the area of a face of the cube

• the circumference of a base of the cylinder

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NC.M3.A-SSE.1.a

• the rate at which the canoe travels with the current

• the rate of the current

• the total distance the canoe travels

• the time it would take the canoe to travel the river section in still water

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NC.M3.A-SSE.1.a

• the maximum distance from the pole that the dog can travel

• the circumference of the circular part of the yard in which the dog can travel

• the square of the radius of the circular part of the yard in which the dog can travel

• the area of the circular part of the yard in which the dog can travel

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NC.M3.A-SSE.1.a

• the cost per person if 3 of 4 customers purchase only sandwiches and wings

• the cost of purchasing only sandwiches and wings, using a coupon for 75 cents off

• the total cost of the items on both the sandwich and wings bar if the grocery store makes 75% profit on their sales

• the cost of purchasing only sandwiches and wings, using a 25% off discount coupon

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NC.M3.A-SSE.1.a

The first minute of a roller coaster ride can be modeled by the piecewise function given, where 𝑡 is the number of seconds since the ride began.

After how man seconds does the ride first begin increasing in height?

• 3.1

• 16

• 20

• 32

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NC.M3.A-SSE.1.a

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NC.M3.A-SSE.1.a