Interpreting Slope in Context
Focus on understanding what the slope of a line of best fit represents in real-world scenarios. Practice interpreting rate of change in contextual problems.
Questions
-
MultiChoice
A linear model for taxi fare is y = 2.50x + 3.00, where x is miles and y is total cost in dollars. What does 2.50 represent?
-
MultiChoice
A linear equation y = -0.5x + 80 models exam score (y) versus hours of video games played (x). What does -0.5 mean?
-
MultiChoice
The equation y = 12x + 50 models savings (y) after x weeks. What is the rate of saving per week?
-
MultiChoice
A candle height linear model is y = -0.8x + 15, where x is hours burned and y is height in cm. What does -0.8 represent?
-
MultiChoice
In a study of plant growth, y = 1.4x + 3 models height in cm (y) over x days. What is the daily growth rate?
-
MultiChoice
The line of best fit y = -2.5x + 100 models water level in a leaking tank over x hours. What does slope -2.5 indicate?
-
MultiChoice
A trend line y = 65x + 10 models distance traveled in miles (y) vs time in hours (x). What does 65 represent?
-
MultiChoice
An equation y = 45x + 200 models earnings (y) from working x hours plus a bonus. What does 45 represent?
-
MultiChoice
If a line of best fit has a slope of 0 in a real-world graph, what does it mean?
-
MultiChoice
A linear model y = -150x + 2000 models value of a computer over x years. What is the annual depreciation?
-
MultiChoice
The equation y = 0.2x + 5 models battery usage score. What does the slope 0.2 signify?
-
MultiChoice
In y = -4x + 90 (temperature y in degrees vs altitude x in thousands of feet), what does -4 signify?