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a. Using the horizontal axis for and the vertical axis for , interpret the slope of each linear model in the situations shown in the scatter plots.
b. If the linear relationship continues to hold for each of these situations, interpret the -intercept of each linear model in the situations provided.
Student Response
1. a. $20.93 since . The $10 item would cost $34.37 since .
b. For each dollar increase in the production cost, the sales price increases $3.36
c. An item that is costs nothing to produce is estimated to be sold for approximately 0.77 dollars. This does not seem to make sense
2. a. Sample response:
▪ Scatter Plot A: For every increase in age of one year, the linear model estimates that the reaction time decreases by about about 9.25 milliseconds.
▪ Scatter Plot B: For every additional banana, the linear model estimates that the price increases by about $0.44.
▪ Scatter Plot C: For each additional square foot, the linear model estimates that the cost to install ooring increases by about $4.
▪ Scatter Plot D: For every increase in temperature of one degree Celsius , the linear model estimates that the volume decreases by about 2.4 cubic centimeters.
b. Sample Response:
Unit 3
Lesson 4: Linear Models 57
