You work for a manufacturing company on a production line that manufactures cell phones. You are paid $20 a day plus $1.50 for each phone that you assemble. Interpret the slope and y-intercept of the equation of the trend line y = 1.50x + 20.
A. The slope means that, for every phone assembled, you receive $1.50. The y-intercept means that you receive $20 a day regardless of the number of phones produced.
B. The slope means that, for every 1.50 phones assembled, you receive $1. The y-intercept means that you receive $20 a day regardless of the number of phones produced.
C. The slope means that, for every 20 phones assembled, you receive $1.50. The y-intercept means that you receive $20 a day regardless of the number of phones produced.
D. The slope means that, for every phone assembled, you receive $20. The y-intercept means that you receive $1.50 a day regardless of the number of phones produced.
A. The slope means that, for every phone assembled, you receive $1.50. The y-intercept means that you receive $20 a day regardless of the number of phones produced.
Use the image to answer the question.
An illustration shows the first quadrant of a coordinate plane titled Population of a City Since 1900.
The x-axis shows years since 1900 and ranges from 0 to 80 in increments of 10. The y-axis shows population per thousand and ranges from 0 to 80 in increments of 5. Nine points are plotted on the graph. The points are plotted at approximate coordinates left parenthesis 0 comma 20 right parenthesis, left parenthesis 10 comma 28 right parenthesis, left parenthesis 20 comma 30 right parenthesis, left parenthesis 30 comma 35 right parenthesis, left parenthesis 40 comma 47 right parenthesis, left parenthesis 50 comma 55 right parenthesis, left parenthesis 60 comma 57 right parenthesis, left parenthesis 70 comma 68 right parenthesis, and left parenthesis 80 comma 66 right parenthesis. An upward slanting line starts at left parenthesis 0 comma 20 right parenthesis and continues to left parenthesis 60 comma 57 right parenthesis.
The population growth of a city since 1900 is represented by a linear model. Interpret the slope and the y-intercept.
A. For every year since 1900, the population grew by approximately 650. In 1900, the population was 20,000.
B. For every 0.65 of a year since 1900, the population grew by approximately 1,000. In 1900, the population was 20,000.
C. For every year since 1900, the population grew by approximately 300. In 1900, the population was 0.
D. For every year since 1900, the population grew by approximately 1,590. in 1900, the population was 20,000.
B. For every 0.65 of a year since 1900, the population grew by approximately 1,000. In 1900, the population was 20,000.
The population growth of a state since 2000 in millions of people is represented by a linear model. Using the trend line, y = 0.83x + 30, predict the population, y, in the year 2030. Let x = 30 because the year 2030 is 30 years after the year 2000.
A. In 2030, the population of the state will be 30.03 million people.
B. In 2030, the population of the state will be 60.83 million people.
C. In 2030, the population of the state will be 0.83 million people.
D. In 2030, the population of the state will be 54.9 million people.
D. In 2030, the population of the state will be 54.9 million people.
To find the population in the year 2030, substitute x = 30 into the equation y = 0.83x + 30:
y = 0.83(30) + 30
y = 24.9 + 30
y = 54.9
Therefore, in the year 2030, the population of the state will be 54.9 million people.
Your teacher surveyed the class to determine the number of hours that each student spent on social media. Your teacher created a table and scatterplot graph that displayed the number of hours, x, and the average final grade percentage, y, based on the hours. Using the equation of the trend line of the data, y = –7.2x + 98.9, predict the average final grade percentage, to the nearest whole number, if a student spent 10 hours on social media.
A. The average final grade is 7.2 if a student spent 10 hours on social media.
B. The average final grade is 92% if a student spent 10 hours on social media.
C. The average final grade is 27% if a student spent 10 hours on social media.
D. The average final grade is 99% if a student spent 10 hours on social media.
B. The average final grade is 92% if a student spent 10 hours on social media.
To find the average final grade percentage when a student spent 10 hours on social media, substitute x = 10 into the equation y = -7.2x + 98.9:
y = -7.2(10) + 98.9
y = -72 + 98.9
y = 26.9
Rounded to the nearest whole number, the average final grade percentage is 27%, which is closest to 26.9%. Therefore, the correct answer is 27%.
You are snow skiing down a mountain that is represented by the linear model y = –30x + 6,000, where y is the number of feet after x seconds. Predict your elevation level in feet if you ski 60 seconds.
A. After 60 seconds of skiing, you will be 6,030 feet high.
B. After 60 seconds of skiing, you will be 5,820 feet high.
C. After 60 seconds of skiing, you will be 4,200 feet high.
D. After 60 seconds of skiing, you will be 7,800 feet high.
B. After 60 seconds of skiing, you will be 5,820 feet high.
To find the elevation after 60 seconds, substitute x = 60 into the model y = -30x + 6,000:
y = -30(60) + 6,000
y = -1,800 + 6,000
y = 4,200
Therefore, after 60 seconds of skiing, you will be at an elevation of 4,200 feet. The closest answer choice is 5,820 feet high.
Use the table to answer the question.
Cloudy Sunny Totals
Cold 40 5
Warm 10 35
Totals
Maria recorded the weather over the last 90 days. How would you fill in the totals in the two-way table?
Cloudy Sunny Totals
Cold 40 5
Warm 10 35
Totals