LF5 Check It

[AbbyANoble]

Reviewer: @tdegeorge

This one will need a lot of different situations, similar to Activity 3.5.4, Activity 3.5.5, Activity 3.5.6, Activity 3.5.7. (Will work on those in a discussion.) But they will all give a context paragraph that includes a slope and a starting value. Then ask :

1. What is the slope? Explain what it represents in the context of the problem.
2. What is the y-intercept? Explain what it represents in the context of the problem.
3. Write a linear function to model the situation. Let [x or other letter] represent the [whatever x's context is] and [f(x) or other letters] represent [whatever y's context is].
4. Question where they are given an x and need to find a y. Like "How much will it cost for a 13 mile taxi ride?"
5. Question where they are given a y and need to find an x. Like " If the taxi ride cost $$, how many miles did it travel?"

Have questions 1 and 2 randomly switch in order. The same with 4 and 5. This is to remove the "Number 4 is always plugged in as x" situation and require some reading to determine what to do.

[AbbyANoble]

Possible Contexts:

• The cost of manufacturing {a book, a shirt, an insulated cup, a hat,...} is { } per {thing} plus an additional { } for fixed costs. Let C(x) be a linear function that models the cost of producing x {things}.
• The recent change in population of {Capeside, Hawkins, Pawnee, Hill Valley, Springfield, Stars Hollow, Bayside} can be described linearly. In {year}, the population was {number between 20,000 and 100,000, whole number of thousands}, and it has {grown, decreased} by {number x,000 or x,500} per year since. Let P(x) be a linear function that models the population x years after {original year}.
• A cell phone plan costs { } for one line and { } for each additional line on the plan. Let C(x) be the cost of the cell phone plan for x additional lines.
• A family buys a {100-400, count by 5}-ounce bag of rice. They use {8-20} ounces per day. Let R(d) represent the amount of rice left in the bag after d days.
• A leaky bucket is losing water at a constant rate of { } ounces per {minute, hour}. The bucket originally contained { } ounces of water. Let W(x) be the amount of water left in the bucket after x {minutes, hours}.