Malika borrows $4500 from her grandparents to buy her first car. Each month she repays a portion of the loan. She uses the function b(x) = 4500 - 250x to determine the balance of the loan x months after she starts to repay her grandparents. Graph the function in terms of the context.
Question
Malika borrows $4500 from her grandparents to buy her first car. Each month she repays a portion of the loan. She uses the function b(x) = 4500 - 250x to determine the balance of the loan x months after she starts to repay her grandparents. Graph the function in terms of the context.
Solution
I'm sorry, but as a text-based AI, I'm unable to create graphs. However, I can explain how to graph the function.
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Identify the variables: In this case, x represents the number of months and b(x) represents the balance of the loan.
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Identify the initial value: When x=0 (i.e., at the start), the balance of the loan is $4500. This gives you the y-intercept of the graph.
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Identify the rate of change: The loan decreases by $250 each month, which is represented by -250x in the equation. This is the slope of the graph.
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Draw the graph: Start by plotting the y-intercept (0, 4500) on the graph. Then, from this point, move down 250 units (because of the negative sign) and to the right 1 unit (representing one month) to plot the next point. Continue this process to plot the rest of the graph.
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Interpret the graph: The graph should be a straight line sloping downwards, showing that the balance of the loan decreases by $250 each month.
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