A certain college had 3,000 students enrolled in 2015. The college predicts that after 2015, the number of students enrolled each year will be 2% less than the number of students enrolled the year before. Which of the following functions models the relationship between the number of students enrolled, , and the number of years after 2015, x ?
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Which choice best describes data in the graph that support Meng and colleagues’ conclusion?
What value of p is the solution of the equation above?
Each dot in the scatterplot above represents the temperature and the number of people who visited a beach in Lagos, Nigeria, on one of eleven different days. The line of best fit for the data is also shown. The line of best fit for the data has a slope of approximately 57. According to this estimate, how many additional people per day are predicted to visit the beach for each 5°C increase in average temperature?
Which of the following statements about the means and medians of data set A and data set B is true?
Which of the following could be an equation for a line of best fit for the data in the scatterplot?
The circle above with center O has a circumference of 36. What is the length of minor arc ?
A customer’s monthly water bill was $75.74. Due to a rate increase, her monthly bill is now $79.86. To the nearest tenth of a percent, by what percent did the amount of the customer’s water bill increase?
Triangle ABC and triangle DEF are shown. The relationship between the side lengths of the two triangles is such that . If the measure of angle BAC is 20°, what is the measure, in degrees, of angle EDF ? (Disregard the degree symbol when gridding your answer.)
- The data for the dot plot are as follows:
- 22: 5 dots
- 23: 4 dots
- 24: 3 dots
- 25: 2 dots
- 26: 1 dot
The dot plot represents the values in data set A. Data set B is created by adding to each of the values in data set A. Which of the following correctly compares the medians and the ranges of data sets A and B?
The graph above shows the relationship between the speed of a particular car, in miles per hour, and its corresponding braking distance, in feet. Approximately how many feet greater will the car’s braking distance be when the car is traveling at 50 miles per hour than when the car is traveling at 30 miles per hour?
The sum of and
can be written in the form
, where a, b, and c are constants. What is the value of
?
Which choice best describes data in the graph that support the student’s claim?
The expression above is equivalent to
, where a, b, and c are constants. What is the value of b?
In the equation above, T represents Brittany’s total take-home pay, in dollars, for her first week of work, where h represents the number of hours she worked that week and 1,000 represents a sign-on bonus. If Brittany’s total take-home pay was $1,576, for how many hours was Brittany paid for her first week of work?
Which choice best describes data in the graph that support Charles and Stephens’s claim?
The function is defined as
, where a is a constant. If
, what is the value of a ?
Tony spends $80 per month on public transportation. A 10-ride pass costs $12.50, and a single-ride pass costs $1.50. If g represents the number of 10-ride passes Tony buys in a month and t represents the number of single-ride passes Tony buys in a month, which of the following equations best represents the relationship between g and t ?
In an article about exercise, it is estimated that a 160-pound adult uses 200 calories for every 30 minutes of hiking and 150 calories for every 30 minutes of bicycling. An adult who weighs 160 pounds has completed 1 hour of bicycling. Based on the article, how many hours should the adult hike to use a total of 1,900 calories from bicycling and hiking?
Blood volume,, in a human can be determined using the equation
, where
is the plasma volume and H is the hematocrit (the fraction of blood volume that is red blood cells). Which of the following correctly expresses the hematocrit in terms of the blood volume and the plasma volume?
In which of the following tables is the relationship between the values of x and their corresponding y-values nonlinear?
The table above gives the typical amounts of energy per gram, expressed in both food calories and kilojoules, of the three macronutrients in food. If x food calories is equivalent to k kilojoules, of the following, which best represents the relationship between x and k ?
The formula above is Ohm’s law for an electric circuit with current I, in amperes, potential difference V, in volts, and resistance R, in ohms. A circuit has a resistance of 500 ohms, and its potential difference will be generated by n six-volt batteries that produce a total potential difference of volts. If the circuit is to have a current of no more than 0.25 ampere, what is the greatest number, n, of six-volt batteries that can be used?
There are n nonfiction books and 12 fiction books on a bookshelf. If one of these books is selected at random, what is the probability of selecting a nonfiction book, in terms of n ?
In the given figure, extends to point D. If the measure of
is equal to the measure of
, what is the value of x ?