Math Checkup Unit

Circle the letter of your answer(s) and explain your choice(s). B. D. The slope is a. Point-slope form b. Slope-intercept form 5. What is the slope off line that is perpendicular to [pick]? Show your work. Answer: A line perpendicular to Hopi]x would have a slope that's the reciprocal of the slope to Hopi]x. So the answer is [pick]. 6. Write the equation off line passing through (0,6) and parallel to the line [pick]. Arctic]x+6 7.Which of the following tables of values could have been generated by a linear function? How do you know? I-I II 1-5 1-7 1-9 1-11 110 115 Table A is a linear function, since it has an even distribution in both its x and y values. Table B is NOT a linear function, since it doesn't have an even distribution in its y values. Table C is a linear function, since it has an even distribution in both its x and y values. 8. For each table in #7 that could have been generated by a linear function, calculate the slope of the line produced by that function. The rise over run formula [pick] shows the slope of a function table.Table A has a slope of -2. Table C has a slope of O. 9. The cost of hosting a dinner in a particular restaurant is given by y = 18. Xx + 250, where x is the number of people at the dinner and y is dollars. What is the slope of this function? What does it mean in the context of the problem? The slope is 18. 5. It meaner that each person that attends costs $18. 50. 10. The cost of hosting a dinner in a particular restaurant is given by y = 18. Xx + 250, where x is the number of people at the dinner and y is dollars. What is the y- intercept of this function? What does it mean in the context of the problem?The y-intercept is 250. This meaner that you must pay $250 BEFORE you pay for each guest's meal. 1 1 . Write the equation of the line that is parallel to the x-axis and goes through the 12. Does the point (2,6) lie on the line that connects (IA) and (03)? Explain. The equation for the slope of (1 A) and (03) is rug+3. Just plug (2,6) into the equation: 6=2+3? NO. So, no. (2,6) does not lie in the line that connects (1 A) and (03). 13. Which of the following pairs of lines are perpendicular? How do you know? Perpendicular? A. [pick and [pick] No. Their slopes are NOT negative reciprocals. B. [pick] and [pick] Yes.Their slopes are negative reciprocals. And [pick] No. Their slopes are NOT negative reciprocals. C. [pick] 14. Jeremy uses the linear function G = ah + 50 to represent the grade, G (in points out of 100), that he can earn on an exam as a function of h, the number of hours he spends studying for the exam. A. Identify the slope and y-intercept of Jersey's function and explain what they mean in the context of the problem. The slope is 12 and the y-intercept is 50. This meaner that Jersey's score, if he didn't study, would be 50. However, for every hour he studies, his score will go up 12 points. . If Jeremy spends 3 hours studying for the exam, what grade does he expect to earn? Show your work. Jeremy can expect to earn 86 points on the test if he studies for 3 hours. C. How many hours should Jeremy study if he wants to earn a perfect score on the exam? Show your work. 100= +50 ah h = 4 hours, 10 minutes. – up, where p is the price in dollars of the product and D is the number of products that can be sold at that price. A. What does the slope of this function mean in the context of the problem? The slope shows that for each dollar the price increases, two less items will be sold. . What price should be set in order to sell 75 items? Show your work. UP = 25 p = $12. 50 The price should be set as $12. 50 to sell 75 items. 75 = 100 16. Temperature may be given in degrees Celsius or in degrees Fahrenheit. The freezing point of water is 32(F or O(C. The boiling point of water is 212(F or OHIO(C. A. Write the equation of a line that shows the relationship between degrees Fahrenheit and degrees Celsius. B. What is the temperature in Fahrenheit when it is ICC? C. What is the temp erature in Celsius when it is OFF? 6. 1 Celsius 17.Write at least three different expressions that mean â€Å"slope. † 62. 6 Fahrenheit 18. In order to write the equation off line, what two pieces of information do you need? (Hint: there may be more than one answer to this question. ) You must know both the slope and y-intercept to write the equation of a line. The number of soccer balls produced. A. What is the slope of this equation and what does it represent in the context of the problem? The slope is 7, and that meaner each soccer ball costs $7. B. What is the y-intercept of this equation and what does it represent in the intent of the problem?