Georgia Milestones Sample Items

Which set of data points could be modeled by a line of best fit that is a decreasing linear function?

• {(0, 0), (1, 8), (2, 15), (3, 22), (4, 30)}

• {(0, 5), (1, 6), (2, 10), (3, 16), (4, 28)}

• {(0, 50), (1, 42), (2, 33), (3, 25), (4, 16)}

• {(0, 64), (1, 60), (2, 52), (3, 39), (4, 22)}

Answer explanation

The correct answer is choice (C) {(0, 50), (1, 42), (2, 33), (3, 25), (4, 16)}. This set of data points is the only one from the list that could be modeled by a decreasing linear function, which has a negative value for a in the linear function formula: f(x) = ax + b. Choice (A) is incorrect because the data points correspond to an increasing linear function. Choice (B) is incorrect because the data points correspond to an increasing nonlinear function. Choice (D) is incorrect because the data points correspond to a nonlinear function.

The total daily expenses to operate Sheila’s pie bakery are the cost of salaries and ingredients. Sheila has four employees, and she pays each employee a daily rate. On average, it costs the same amount of money to make each pie. This expression shows the total daily expenses for Sheila’s bakery to make x pies. 4(75) + $0.50x What does the term 4(75) represent?

• the amount of money Sheila must pay her employees per day

• the number of pies Sheila must sell per day

• the total cost of expenses per pie

• the amount of money customers pay per pie

Answer explanation

The correct answer is choice (A) The amount of money Sheila must pay her employees per day. The 4 represents the number of employees and the 75 represents the daily rate she pays each employee. Choice (B) is incorrect because the number of pies Sheila must sell per day is represented by x. Choice (C) is incorrect because the total cost of expenses per pie is represented by the value of the entire expression. Choice (D) is incorrect because the amount of money customers pay per pie is not represented in the expression.

Which function represents the data in the table?

Answer explanation

The correct answer is choice (D). When the x-values in the table are substituted for x in this function, the results are equal to the corresponding y-values. Choice (A) is incorrect because it indicates multiplication of 2 and x instead of division of x by 2. Choice (B) is incorrect because it indicates subtraction of 1 instead of addition of 1. Choice (C) is incorrect because it indicates multiplication of 2 and x instead of division of x by 2 and indicates subtraction of 1 instead of addition of 1.

• (−4, −5)

• . (−2, −1)

• (4, 1)

• (16, 5)

Answer explanation

The correct answer is choice (D) (16, 5). When the values of the coordinate pair are substituted into the system of equations, both sides are equal for both equations. As such, the coordinate pair represents a solution to the system of equations. Choice (A) is incorrect because the values of the coordinate pair, when substituted into the system of equations, result in an incorrect solution for the first equation. Choices (B) and (C) are incorrect because the values of the coordinate pairs, when substituted into the system of equations, result in incorrect solutions for the second equation.

Information about the costs of three catering companies is shown in this table.

Gavin can spend no more than $300 on the catering for an event. What is the greatest number of people that Gavin can have at his event without spending more than $300 on catering?

• 30

• 32

• 33

• 37

Answer explanation

The correct answer is choice (C) 33. At $6 per person, and with a $100 flat service charge added, Acme Catering Company can provide services for 33 people at a cost of $298. Choice (A) is incorrect because it is the number from the Creative Catering Company, but not the largest number possible. Choice (B) is incorrect because it is the number from the Best Foods Company, but not the largest number possible. Choice (D) is incorrect because the student selects the highest number without basing the response on the context provided.

Which set of data could be BEST modeled by a quadratic function?

• 
• 
• 
• 

Answer explanation

The correct answer is choice (C). The data in the graph represent a quadratic trend. The graphs in (A) and (D) represent a correlation to linear trends. The graph in (B) represents data with no clear correlation.

This list shows the number of text messages each student in a group sent in one day. 16, 2, 8, 5, 3, 20, 15, 4, 9, 16, 19, 17 The students are creating this histogram to show their data.

What should be the height of the bar for 6–10 text messages?

• 1

• 2

• 4

• 5

Answer explanation

The correct answer is choice (B) 2. Only 2 students sent 6–10 text messages. Choice (A) is incorrect because it corresponds to the number of students that sent 11–15 text messages. Choice (C) is incorrect because it corresponds to the number of students that sent 1–5 text messages. Choice (D) is incorrect because it corresponds to the number of students that sent 16–20 text messages.

The set of ordered pairs shown represents a function, f. {(–5, 3), (4, 9), (3, –2), (0, 6)} Select THREE ordered pairs that could be added to the set that would allow f to remain a function.

Select THREE ordered pairs that could be added to the set that would allow f to remain a function

• (−3, −2)

• (4, 0)

• (0, −1)

• . (1, 6)

• (2, 3)

Answer explanation

The correct answers are choices (A), (D), and (E). Choices (B), (C), and (F) are incorrect because each has the same x-value as an ordered pair already in the function. If any of these values were added, the set would no longer represent a function because there would be one x-value with two different y-values.