Question 2
The line y = kx + 4, where k is a constant, is graphed in the xy-plane. If the line contains the point (c, d), where c ≠ 0 and d ≠ 0, what is the slope of the line in terms of c and d ?
2
2
The line y = kx + 4, where k is a constant, is graphed in the xy-plane. If the line contains the point (c, d), where c ≠ 0 and d ≠ 0, what is the slope of the line in terms of c and d ?
Question 3
Bacteria are growing in a liquid growth medium. There were 300,000 cells per milliliter during an initial Observation. The number Of cells per milliliter doubles every^3 hours. How many cells per milliliter will there be 15 hours after the initial observation?
3
3
Bacteria are growing in a liquid growth medium. There were 300,000 cells per milliliter during an initial Observation. The number Of cells per milliliter doubles every^3 hours. How many cells per milliliter will there be 15 hours after the initial observation?
Question 5
Mr. Lastorka’s science class is running experiments with an energy-efficient model electric car. As the initial rate of energy delivered to the car, measured in watts, increases, the number of millimeters moved by the car from its starting position increases exponentially. The results of several trial runs are shown on the scatterplot graph below. Based on the data, the students in Mr. Lastorka’s class determine the exact equation involving Watts, x, and total distance from start, y . They call the function y = f(x). Mr. Lastorka then instructs his class to reflect y = f(x) over the x-axis. He challenges each student to determine the new function and what it would mean from a physics perspective. Four student pairs gave their answers below. Who is correct, and for what reasons?
5
5
Mr. Lastorka’s science class is running experiments with an energy-efficient model electric car. As the initial rate of energy delivered to the car, measured in watts, increases, the number of millimeters moved by the car from its starting position increases exponentially. The results of several trial runs are shown on the scatterplot graph below. Based on the data, the students in Mr. Lastorka’s class determine the exact equation involving Watts, x, and total distance from start, y . They call the function y = f(x). Mr. Lastorka then instructs his class to reflect y = f(x) over the x-axis. He challenges each student to determine the new function and what it would mean from a physics perspective. Four student pairs gave their answers below. Who is correct, and for what reasons?
Question 6
Vivian bought party hats and cupcakes for $71. Each package of party hats cost $3, and each cupcake cost $1. If Vivian bought 10 packages of party hats, how many cupcakes did she buy?
6
6
Vivian bought party hats and cupcakes for $71. Each package of party hats cost $3, and each cupcake cost $1. If Vivian bought 10 packages of party hats, how many cupcakes did she buy?
Question 11
A circle in the xy-plane has a diameter with endpoints (2, 4) and (2, 14) . An equation of this circle is ( x - 2 )^2 + ( y - 9 )^2 = r^2 , where r is a positive constant. What is the value of r ?
11
11
A circle in the xy-plane has a diameter with endpoints (2, 4) and (2, 14) . An equation of this circle is ( x - 2 )^2 + ( y - 9 )^2 = r^2 , where r is a positive constant. What is the value of r ?
Question 12
A certain town has an area of 4.36 square miles. What is the area, in square yards, of this town? (1 mile = 1,760 yards)
12
12
A certain town has an area of 4.36 square miles. What is the area, in square yards, of this town? (1 mile = 1,760 yards)
Question 16
Lennon has 6 hours to spend in Ha Ha Tonka State Park. He plans to drive around the park at an average speed of 20 miles per hour, looking for a good trail to hike. Once he finds a trail he likes, he will spend the remainder of his time hiking it. He hopes to travel more than 60 miles total while in the park. If he hikes at an average speed of 1.5 miles per hour, which of the following systems of inequalities can be solved for the number of hours Lennon spends driving, d, and the number of hours he spends hiking, h, while he is at the park?
16
16
Lennon has 6 hours to spend in Ha Ha Tonka State Park. He plans to drive around the park at an average speed of 20 miles per hour, looking for a good trail to hike. Once he finds a trail he likes, he will spend the remainder of his time hiking it. He hopes to travel more than 60 miles total while in the park. If he hikes at an average speed of 1.5 miles per hour, which of the following systems of inequalities can be solved for the number of hours Lennon spends driving, d, and the number of hours he spends hiking, h, while he is at the park?
Question 20
The function f is defined by the equation f( x ) = 7x + 2. What is the value of f( x ) when x = 4 ?
20
20
The function f is defined by the equation f( x ) = 7x + 2. What is the value of f( x ) when x = 4 ?
Question 21
FIGURE
a = 1,052 + 1.08t The speed of a sound wave in air depends on the air temperature.The formula above shows the relationship between a, the speed of a sound wave, in feet per second, and t, the air temperature, in degrees Fahrenheit (°F). At which of the following air temperatures will the speed of a sound wave be closest to 1,000 feet per second?
21
21
FIGURE
a = 1,052 + 1.08t The speed of a sound wave in air depends on the air temperature.The formula above shows the relationship between a, the speed of a sound wave, in feet per second, and t, the air temperature, in degrees Fahrenheit (°F). At which of the following air temperatures will the speed of a sound wave be closest to 1,000 feet per second?
