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In general, to use a linear function to model and analyze a real-life situation, you need to start by defining the variables.
See solution.
We are asked how we can use a linear function to model and analyze a real-life situation.
Before writing the function to model and analyze the situation, we first need to define the variables. Then, we will write the equation that connects them. Finally, we use the model to find the desired values. Let's see a real-life situation.
Paula is spending her holidays in Portugal, and wants to rent a bike for a few days. She saw an advertisement at a local shop. Calculate the price of renting a bike for one week. How many days can she rent a bike if she plans on spending $58?
Let's use a linear function to model the above situation. Let x be the number of days Paula rents the bike, and y the cost of renting the bike for x days.
Verbal Phrase | Algebraic Phrase |
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The total cost equals the price per day times the number of days, plus the one-time payment | y = 5 × x + 8 |