Chapter 4: Problem 56
LOGICAL REASONING In Exercises \(56-59\), tell whether the statement is true or false. Justify your answer. The \(y\) -intercept of the graph of \(3 x+5 y=30\) is 10
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Use the following information. Your school drama club is putting on a play next month. By selling tickets for the play, the club hopes to raise \(\$ 600\) for the drama fund for new costumes, scripts, and scenery for future plays. Let \(x\) represent the number of adult tickets they sell at \(\$ 8\) each, and let \(y\) represent the number of student tickets they sell at \(\$ 5\) each. Graph the linear function \(8 x+5 y=600\)
Use the following information. Your school drama club is putting on a play next month. By selling tickets for the play, the club hopes to raise \(\$ 600\) for the drama fund for new costumes, scripts, and scenery for future plays. Let \(x\) represent the number of adult tickets they sell at \(\$ 8\) each, and let \(y\) represent the number of student tickets they sell at \(\$ 5\) each. What are three possible numbers of adult and student tickets to sell that will make the drama club reach its goal?
MULTI-STEP PROBLEM The number of people who worked for the railroads in the United States each year from 1989 to 1995 can be modeled by the equation \(y=-6.61 x+229,\) where \(x\) represents the number of years since 1989 and \(y\) represents the number of railroad employees (in thousands). a. Find the \(y\) -intercept of the line. What does it represent? b. Find the \(x\) -intercept of the line. What does it represent? c. About how many people worked for the railroads in \(1995 ?\) d. Writing Do you think the line in the graph will continue to be a good model for the next 50 years? Explain.
Find the slope of the graph of the linear function \(f\). $$ f(9)=-1, f(-1)=2 $$
You start 5 kilometers from the finish line and walk \(1 \frac{1}{2}\) kilometers per hour for 2 hours, where \(d\) is your distance from the finish line. Graph the situation.
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