1You 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
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
2The population growth of a city since 1900 is represented by a linear model. Interpret the slope and the y
-intercept.
For every year since 1900, the population grew by approximately 650. In 1900, the population was 20,000.
3The 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.
In 2030, the population of the state will be 54.9 million people.
4Your 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.
The average final grade is 27% if a student spent 10 hours on social media.
5You 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.
Responses
After 60 seconds of skiing, you will be 4,200 feet high.