Using Linear & Exponential Functions to Model Situations

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

Justin is part of a team trying to prevent mosquito borne illnesses. He wants to know how many mosquitos will be present in a pool of standing water after a week. He determines that the following exponential model predicts the mosquito population well. How many mosquitos will there be after seven days (assume x is measured in days)?

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1. Gabriella wants to make a model to determine how quickly an oven will heat up to a specified temperature. She sets the oven at 450 degrees. After two minutes, the temperature in the oven is 100 degrees. After four minutes, the temperature is 130 degrees, and after six minutes, the temperature is 160 degrees. Which kind of function would best model this data?

2.

Gabriella wants to make a model to determine how quickly an oven will heat up to a specified temperature. She sets the oven at 370 degrees. After two minutes, the temperature in the oven is 100 degrees. After four minutes, the temperature is 130 degrees, and after six minutes, the temperature is 160 degrees. Using this data, she determines that the temperature can be modeled using this function, where T represents the temperature and x represents the time.

T = 15x + 70

How long does it take for the oven to reach 370 degrees?

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About This Quiz & Worksheet

This quiz and worksheet tests what you know about applying linear and exponential functions to real-world problems. You'll be asked to read a problem and infer from a graphed linear or exponential function what the answer to the question is.

Quiz & Worksheet Goals

The focus of this quiz and worksheet is to review what you know about:

  • How to understand a model of a linear or exponential function
  • The difference between modeling a linear versus exponential function
  • Solving functions for the correct answer
  • Which function models data that is increasing or decreasing very quickly at a changing rate

Skills Practiced

  • Problem solving - use understanding of linear functions to be able to solve problems correctly
  • Distinguishing differences - compare and contract what you know about linear and exponential functions
  • Information recall - see if you can remember which function is used to model data that is changing at a constant rate

Additional Learning

If you want to learn more about this topic, you can find more detail in the lesson called Using Linear & Exponential Functions to Model Situations. This lesson reviews:

  • How modeling functions helps predict what will happen
  • The two important parts of a linear function
  • Equation for the linear function
  • Real-world example of a linear function
  • Qualities of an exponential function
  • The equation for an exponential function
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