standard_description: Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
problem_activity: Problem 1
A repair technician replaces cracked screens on phones. He can replace 5 screens in 3 hours.
a.   Write an equation you can use to determine how long it takes to replace any number of screens.
b.   Write an equation you can use to determine how many screens can be replaced in a certain number of hours.
c.   Use one of your equations to determine how long it would take to replace 30 screens.
d.   Use one of your equations to determine how many screens could be replaced in 12 hours.
Problem 2
A train traveling from Boston to New York moves at a constant speed. The train covers 260 miles in 3.25 hours.
Write an equation that represents this relationship. Explain what your equation tells you about the train.
Problem 3
Deli turkey meat is on sale at two different grocery stores, as represented below.
| **             Stop & Buy            **              $$c=6.25p$$                        , where                         $$c$$                        represents cost in dollars and                         $$p$$                        represents number of pounds of turkey |                        **             Roger's            **                         | **                 Amount                **  **                 (pounds)                ** | **                 Cost                **  **                 ($)                ** | 3 | 19.50 | 4 | 26.00 | 6 | 39.00 | 7 | 45.50 |
|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|-------------------------------------------------------------------------------------|--------------------------------------------------------------------------------------------|-------------------------------------------------------------------------------------|---|-------|---|-------|---|-------|---|-------|
|                                                                                           **                 Amount                **  **                 (pounds)                **                                                                                           | **                 Cost                **  **                 ($)                ** |                                                                                            |                                                                                     |   |       |   |       |   |       |   |       |
|                                                                                                                                       3                                                                                                                                        |                                        19.50                                        |                                                                                            |                                                                                     |   |       |   |       |   |       |   |       |
|                                                                                                                                       4                                                                                                                                        |                                        26.00                                        |                                                                                            |                                                                                     |   |       |   |       |   |       |   |       |
|                                                                                                                                       6                                                                                                                                        |                                        39.00                                        |                                                                                            |                                                                                     |   |       |   |       |   |       |   |       |
|                                                                                                                                       7                                                                                                                                        |                                        45.50                                        |                                                                                            |                                                                                     |   |       |   |       |   |       |   |       |
What is the unit price of turkey per pound at each store? Which store has the better sale?


aligns: no