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1. For each table of values. decide whether the data model a linear, quadratic, or exponential relation. Thinking (10 marks) and Communication (12 marks) 1.

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1. For each table of values. decide whether the data model a linear, quadratic, or exponential relation. Thinking (10 marks) and Communication (12 marks) 1. The table shows the average yearly electricity consumption per household for a medium-sized city. Year Electricity Consumption (kWh) 0 2420 1 2470 2 2520 3 2570 4 2620 5 2670 a) Show that the data can be represented by a linear model and by an exponential model. b) Use your graphing calculator to determine a linear and an exponential model. Write the equation for each model. c) What might the electricity consumption be in 15 years? Which model predicts a higher demand? Explain how you know.2. This table shows the temperature of a cup of coffee left outside on a winter day. 20 53.7 44.0 35.9 Could the data in the table be modelled by a relation of the form 1: = ax' + bx + c, where y is the temperature in \"C and x is time in seconds? Why or why not? d) Graph the data on graph paper. Using the equations from part b}, extend each graph to determine the demand after 15 years. 2. Ralph is considering starting his own web design business in town. He conducted some research and determined the number of businesses with web sites in town seems to be growing. Number of businesses with web sites a) Graph a scatter plot on graph paper. 1)) Which model appears the most suitable: linear. quadratic. or exponential? Give reasons for your answer. c} Predict the trend for businesses using web sites

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