Blog

(01.06 MC) A small plane flies 760,320 yards in 2 hours. Use the formula d = rt, where d represents distance, r represents rate, and t represents time, to answer the following questions. Show your work. Part A: Rearrange the distance formula, d = rt, to solve for rate. (2 points) Part B: Find the plane’s rate in yards per hour. (3 points) Part C: Find the plane’s rate in miles per hour. (3 points) Part D: Which unit, yards, or miles, makes more sense to use in this scenario, and why? (2 points)

(01.03 MC) Zach and Ginny are building model cars. Ginny’s car is 2 more than 3 times the length of Zach’s car. The sum of the lengths of both cars is 30 inches. Write an equation to determine the lengths of Zach’s and Ginny’s cars.

(03.06 MC) Malia is using an online calculator to calculate the outputs f(n) for different inputs n. The ordered pairs below show Malia’s inputs and the corresponding outputs displayed by the calculator: (1, 4), (2, 9), (3, 14), (4, 19) Which of the following functions best represents the rule that the calculator uses to display the outputs?

(03.03 MC) The population of a species of fish in a river increased by a factor of 1.05 every day for the amount of days shown in the graph. The function shows the number of fish in the river f(x) after x days: f(x) = 100(1.05)x Which of the following is a reasonable domain for the function days 0 to 31?

(03.03 MC) Sophia invested some money in a bank at a fixed rate of interest compounded annually. The equation below shows the value of her investment after x years: f(x) = 500(1.05)x What was the average rate of change of the value of Sophia’s investment from the second year to the fourth year?

(01.02 MC) Solve 8x − 2(x + 1) = 7x + 8

(01.02 MC) Solve 7x − 2(x + 1) = 6x + 14

Set point theory would predict which of the following?

Some people have suggested that oxytocin could act as a “love potion” or “liquid trust.” Which of the following is a reason given in the textbook why this is an oversimplification?

(01.06 MC) A falcon flies 800,000 meters in 4 hours. Use the formula d = rt, where d represents distance, r represents rate, and t represents time, to answer the following questions. Show your work. Part A: Rearrange the distance formula, d = rt, to solve for rate. (2 points) Part B: Find the falcon’s rate in meters per hour. (3 points) Part C: Find the falcon’s rate in kilometers per hour. (3 points) Part D: Which unit, meters, or kilometers, makes more sense to use in this scenario, and why? (2 points)