IF.6 Math 1 Check-in #1 Review

The growth of a tree can be represented by the graph shown on the coordinate grid.

The growth rate is the slowest from​ ​ ​ (a)   years

• 14 to 20
• 0 to 4
• 4 to 10
• 10 to 14

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NC.M1.F-IF.6

A carpenter is building steps to a new deck he has added to a house. The graph shows the slope of the new steps.

Which set of steps has the same slope as the steps the carpenter is building?

• 
• 
• 
• 

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NC.M1.F-IF.6

The graph shows the level of the water over time in a swimming pool as it is being drained.

What is the slope of the line representing the water level?

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NC.M1.F-IF.6

A water tank is being drained at a steady rate. The initial level of the water in the tank was 5.5 feet. The graph below shows the water level over time as the tank is drained.

What is the slope of the line graphed?

• 2

• 2

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NC.M1.F-IF.6

The graph below shows the water level in a swimming pool over time as it is being filled.

What is the slope of the line representing the water level?

• 3

• -3

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NC.M1.F-IF.6

The points on the graph below show the total cost for different numbers of tickets to a concert. As shown, 1 ticket costs $20, 2 tickets cost $40, 3 tickets cost $60, and 4 tickets cost $80.

What is the slope of the dashed line on the graph?

• 2

• 20

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NC.M1.F-IF.6

This table shows a function.

What is the average rate of change over the interval 2 ≤ x ≤ 13?

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NC.M1.F-IF.6

The number of restaurants in a city increases each year.

In 2005 there were 42 restaurants in the city.

In 2009 there were 61 restaurants in the city.

What is the average rate of change from 2005 to 2009?

• 4.75 restaurants per year

• 3.80 restaurants per year

• ^–3.80 restaurants per year

• ^–4.75 restaurants per year

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NC.M1.F-IF.6

The manager of a pizza restaurant recorded the total number of pizzas delivered after x weeks in this table.

Which statement is true?

• There was an increase of 83.5 pizzas each week from week 4 to week 6.

• There was an increase of 34.5 pizzas each week from week 4 to week 6.

• There was an increase of 50 pizzas each week from week 4 to week 6.

• There was an increase of 28 pizzas each week from week 4 to week 6.

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NC.M1.F-IF.6

A function is shown in this table.

What is the average rate of change over the interval ^–1 ≤ x ≤ 2?

• 2

• 3

• 6

• 9

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NC.M1.F-IF.6