Functions as Models

The accompanying graph shows the amount of water left in Rover’s water dish over a period of time.How long did Rover wait from the end of his first drink to the start of his second drink? 10 seconds 30 seconds 60 seconds 75 seconds Match the linear function with it’s correct table. Y = -12.5x + 150 Y= 2.5x + 5 Y= x + 8 Y= -0.5x - 1 Determine if the following scenariohas a positive or negative rate of change. Positive Items bought and price Time and phone battery when being charged. Negative Miles driven and gas in a car. Time and length of burning candle Given the graph below, match the interval with its corresponding rate of change in feet per second. 0 to 2 seconds 1 2 to 6 seconds 0 6 to 10 seconds 3 10 to 12 seconds -3 A family is traveling from their home to a vacation resort hotel. The table below shows their distance from home as a function of time. Which interval has a greater average rate of change? Hour 2 to 5?or 5 to 7? Include units in your answer. A population of rabbits in a lab, p(x), can be modeled by the function below, where x represents the number of days since the population was first counted. Determine, to the nearest tenth, the average rate of change from day 50 to day 100. A local business was looking to hire a landscaper to work on their property. They narrowed their choices to two companies. Flourish Landscaping Company charges $120 per hour. Green Thumb Landscapers charges $70 per hour plus a $1,600 equipment fee.Write a system of equations representing how much each company charges.Determine and state the number of hours that must be worked for the cost of each company to be the same. The graph below shows two functions, f(x) and g(x). What value(s) of x satisfies the equation f(x)=g(x). There can be more than one answer. 0 -3 1 3 4 -2 The table below represents the height of a bird above the ground during flight, with P(t) representing the height in feet and t representing time in seconds. Calculate the rate of change from t=3 to t=9. Include units in your answer. What does the rate of change from t=3 to t=9 mean in context of the problem? During a recent snowstorm in Huntington, NY, Luke noted that there were 2 inches of snow on the ground at 11 a.m., and there were 6 inches of snow on the ground at 3 p.m. If he were to graph these data, what does the slope of the line connecting these two points represent in context of the problem?