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 and the average final grade based on the hours. The trend line (equation) for the data is y=−7.2x+98.9 . Interpret the slope. How many points does the average final grade decrease for 1 hour on social media?(1 point)
The slope of the trend line is -7.2. This means that for every 1 hour increase in time spent on social media, the average final grade decreases by 7.2 points.
To predict the revenue generated for a $200.00 investment in advertising, we substitute x = 200 into the equation:
y = 2.53x + 43
y = 2.53(200) + 43
y = 506 + 43
y = 549
Therefore, the revenue generated for a $200.00 investment in advertising is $549.
Your company asked you to analyze the investment of their advertising campaign. You create a scatterplot graph of the advertising dollars spent on advertising, x, and compare it to the revenue generated, y, for January to December of the campaign. You find the equation of the trend line to be y=2.53x+43. Predict the revenue generated if your company invests $200.00 in advertising. Write the revenue in dollars and cents.(1 point)
The revenue generated for a $200.00 investment in advertising is $
You work for a manufacturing company on a production line that manufactures cell phones. You are paid $30 a day plus $0.75 for each phone that you assemble. Predict your wages if you assemble 100 phone in one day, using the equation of the trend line y=0.75x+30 , where x is the number of phones assembled in one day and y is the total wages. Write your wages in dollars and cents.(1 point)
Your wages are $
.
To predict your wages for assembling 100 phones in one day, we substitute x = 100 into the equation:
y = 0.75x + 30
y = 0.75(100) + 30
y = 75 + 30
y = 105
Therefore, your wages for assembling 100 phones in one day would be $105.
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 .(1 point)
Responses
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.
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.
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.
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.
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.
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.
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.
The correct interpretation is: 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.
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.(1 point)
Responses
In 2030, the population of the state will be 30.03 million people.
In 2030, the population of the state will be 30.03 million people.
In 2030, the population of the state will be 60.83 million people.
In 2030, the population of the state will be 60.83 million people.
In 2030, the population of the state will be 0.83 million people.
In 2030, the population of the state will be 0.83 million people.
In 2030, the population of the state will be 54.9 million people.
To predict the population in the year 2030, we substitute x = 30 into the equation:
y = 0.83x + 30
y = 0.83(30) + 30
y = 24.9 + 30
y = 54.9
Therefore, the predicted population in the year 2030 is 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.(1 point)
Responses
The average final grade is 27% if a student spent 10 hours on social media.
The average final grade is 27% if a student spent 10 hours on social media.
The average final grade is 7.2 if a student spent 10 hours on social media.
The average final grade is 7.2 if a student spent 10 hours on social media.
The average final grade is 92% if a student spent 10 hours on social media.
The average final grade is 92% if a student spent 10 hours on social media.
The average final grade is 99% if a student spent 10 hours on social media.