HS.SP.7

Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. (MP.1, MP.2)

Example Problems
Two landscaping crews plant trees at constant rates. Crew East plants 9 trees per hour, and they had planted 36 trees after 4 hours.

The number of trees planted by Crew West as a function of time (in hours) is given by the table of values.
Time (hours)Trees planted
111
444
777


Which crew plants more trees per hour?
Two orchard teams are picking apples at constant rates. Team Red fills 32 baskets per hour, and they had filled 96 baskets after 3 hours.

The number of baskets filled by Team Blue as a function of time (in hours) is given by the table of values.
Time (hours)Baskets filled
127
381
5135


Which team fills more baskets per hour?
Lena and Max deposit money into their savings at constant weekly rates. Lena adds per week, and her balance was after 6 weeks.

The account balance for Max as a function of time (in weeks) is given by the table of values.
Time (weeks)Dollars in account
256
6128
10200


Who deposits more money per week?
Khan Academy Resources
Equations of trend lines: Phone dataInterpreting slope and y-intercept for linear modelsInterpreting slope of regression lineInterpreting y-intercept in regression model
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