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The graph below represents the function for cab fare based on the number of miles the cab travels.What does the slope of the graph represent? Cost per mileCost per minuteInitial cost for ordering cabAmount of profit the cab driver earns2. Annie was given two pieces of information and must write the equation of a line. She knows the line crosses the y-axis at the pointand has a slope of?– 4. What is the equation of the line? ??3. What is the solution to this system of equations?4. The distances traveled by car A and car B after x hours are represented by the graph and table below.Which statement is true?A.The speed of car A is twice the speed of car B.B.The speed of car B is twice?the speed of car A.C.The speed of car A is 2.4 times the speed of car B.D.The speed of car B is 2.4 times the speed of car A.?5. A delivery service offers two package sizes. On Monday, the service delivered 40 large and 20 small packages for a cost of $380. On Tuesday, 32 large and 80 small packages?were delivered for $496.Based on the graph for Monday and Tuesday, which is closest to the cost to deliver each type of package? 6. Jules kept track of her cab fare in the table below.Distance Traveled(miles) Cost($) 7 16.20 3.4 9.00 4 10.20 5.6 13.40? The linear model describes the cost of the cab ride, c, as a function of the number of miles traveled, m. How much will it cost Jules to travel 16 miles in a cab?7. A boiling pot of water (212?F) is cooling at a rate of 3.5 degrees per hour. A second pot is heated from freezing (32?F) at a rate of 7 degrees per hour.Based on the graph, what is?the water’s temperature when the two pots are equal? 8. Does the equation represent a linear function?? Why? 9. A triangle has sides that measure 5 units, 7 units, and 8 units. Is this triangle a right triangle? 10. Manuel has a bowl of quarters and dimes. There are 45 coins totaling $8.85. To find the number of each coin, Manuel used a system of linear equations and graphed them in the coordinate plane.Based on the graph, about how many quarters are in the bowl? 11. Quan paid $72 for a box of 144 pens. He sold 84 of the pens for $1 each. Which statement is correct? How much profit did Quan make?12. Triangle ABC?is a right triangle.What is the length of 13. Which of the following problems can be solved using the equation below?A. Lisa is twice as old as she was 15 years ago. How old is Lisa now?B. In 15 years Rosa will be twice as old as she is now. How old is Rosa now?C. Alexa is twice as old as she will be 15 years from now. How old is Alexa now? D. When Fiona is 15 years old, she will be twice as old as she is now. How old is Fiona now? 14. A function is shown in the table.Which sentence justifies the claim that the function is a linear function? All the outputs are odd numbersAll the outputs are positive numbersThe function grows by equal factors over equal intervalsThe function grows by equal differences over equal intervals15. Write a brief scenario to go with each graph. 16. Complete the table of values corresponds to the equation xy-105717. Which graph?best represents a nonlinear function?18. Which table of ordered pairs represents a line that has a slope that is the same as the slope of the line represented by the equation A. B. C. D. 19. Moira placed $2 in an empty piggy bank, and then added $3 every month. The same day, Nathan placed $5 in an empty piggy bank, and then added $3 every month. The graph below represents their savings.Based on this graph, which statement is true?A. The amounts in the piggy banks will never be the same.B. At the end of 5 months the amounts in the piggy banks will be equalC. After the amount in each piggy bank reaches $30, the amounts will continue to be equal.D. The amounts in the piggy banks will always be equal because each piggy bank receives $3 each month. ................
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