Sometime between years 10 and 11 the two cities will have approximately the

# Sometime between years 10 and 11 the two cities will

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Sometime between years 10 and 11, the two cities will have approximately the same populations. The population of Growopolis is closest to that of Steadyopolis in year 11, so the populations will be very close at the end of year 10. Also notice, in year 10, Growopolis was lower (but in year 11) it was higher, so you can conclude that between those years, the two cities had an equal population at some point. Step 4: If you have the functions, approximate the solution by graphing. There is a graph showing years on the x axis and population on the y axis. The line for Steadyopolis is function g of x equals 20000 x plus 500,000. Growopolis is an exponential growth of g of x equals 100,000 times 1.2 raised to the x power. The lines intersect at the point 10.8, 715,927.09. In this example, because you have the functions, you can also graph to approximate more closely. At 10.8 years, each city should have a population of around 715,927 people. This answer matches with the approximation you made from the table of values. /////////////////////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////////////////////////// ///////// Practice with ansers Which of the following describes the graph of an equation with two variables? The graph contains two points that are connected by a line and are the solutions to the equation. The graph does not represent every solution for the two variables due to the scale of the axes. The graph represents all of the solutions for the equation regardless of the shape. The graph represents the solution in which one of the variables is true. Corret: C ----------- The two functions are linear. Use the table of values to find an approximate solution for f(x) = g(x). x f(x) g(x) 1 -1.5 8 2 1 6 3 3.5 4 4 6 2 When f(x) = g(x), x is between 2 and 3. When f(x) = g(x), x is between 3 and 4. When f(x) = g(x), x has to be x > 4. There is no solution. f(x) cannot equal g(x). Correct B

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• Spring '19
• kristina belgram
• Sociology, Binary relation

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