Worked+Problems+-+Lines

//7. Layton measures the voltage across different numbers of batteries placed end to end. He records this data in a table. Directly below this text is what is supposed to be the table.// _________________________________________________________________________________ _________________________________________________________________________________ _________________________________________________________________________________ //a. Let x represent the number of batteries, and let y represent the voltage. Find the slope of a line approximating these (this?) data. Be sure to include units with your answer.// If you plot the points on a graph where the number of batteries is x and the voltage is y, the coordinates would be (1, 1.43) (2, 2.94) and so on for all 8 batteries. Using the formula y1-y2/x1-x2 (y2-y1/x2-x1 works as well) along with the knowledge that 1=x1, 1.43=y1, 2=x2 and y = y2, you find that the slope is 1.51 volts/battery or something close to it based on which coordinates you used. //b. Which points did you use and why? What is the real-world meaning of this slope?// //I// used (1, 1.43) and (2, 2.94) because they were the first ones I saw. Which ones did //yo//u use? As for the real-world meaning of the slope, it means that the voltage was increased by about 1.51 volts for each extra battery Lameton added. //c. Does it make sense that the y-intercept of the line is 0? Explain why or why not.// Yes, it does make sense because if there aren’t any batteries, there isn’t any voltage.
 * 3.2 Pg. 125 #7** - Kale Carro [W]
 * Number of batteries** | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
 * Voltage (volts)** | 1.43 | 2.94 | 4.32 | 5.88 | 7.39 | 8.82 | 10.27 | 11.70 |

Samantha Lam [E]