3.1+Renting+Bicycles

**//__ Problem 3.1 and it’s F.U  __//** A) Which bike store should ocean history bike tour use? Explain your choice.  ** Ans) ** If ocean history bike tours rent 35 bikes or less then they should rent it from Adrian’s bike shop. For more than 35 bikes Rocky’s bike is cheaper. This is because we see that Adrian’s shop is cheaper for less number of bikes and increases high with more number of bikes. And Rocky’s shop decreases price heavily for higher number of bikes.  B)  Explain  how you used the information in the table and your graph to make your decision.  **Ans) ** By observing the graph and the table I saw the data in the graph is increasing in the same rate, whereas, the data in the table is decreasing for higher number of bikes. And the rent for 35 bikes in both the shops is almost the same.
 * __ Pratik Sarkar __** **__ Block -B __** **__ 1/9/08 __** **__ Grade 7 __**

__Problem 3.1 F.U__ 

1) In the graph from Andrian’s bike shop would it make sense to connect the dots with a line? Why or why not?  Ans) Yes, it would make sense to connect the dots on the graph because in that case it would be easier for us to find the rent for the number of bikes, which are not in multiples of 5. 

2) How much do you think each bike shop would rent for 32 bikes?  <span style="FONT-SIZE: 10pt; FONT-FAMILY: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA">Ans) Andrian’s bike shop will cost about [975+ (1070/35)*2] = $1036.14 for 32 bikes and in Rocky’s shop rent for 32 bikes will cost around $980. <span style="FONT-SIZE: 10pt; FONT-FAMILY: Arial; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA">

<span style="FONT-SIZE: 10pt; FONT-FAMILY: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA">3) Look for patterns on the table which is on pg 37. Describe in words the pattern change in the data. <span style="FONT-SIZE: 10pt; FONT-FAMILY: Arial; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA"> <span style="FONT-SIZE: 10pt; FONT-FAMILY: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA">Ans) The pattern what I understand by looking at the table is that the rent of the bikes increases at a steady pace until 35 bikes. After that the increase in rent slows down and is very much less as it goes higher. <span style="FONT-SIZE: 10pt; FONT-FAMILY: Arial; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA">

<span style="FONT-SIZE: 10pt; FONT-FAMILY: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA">4) Based on the patterns you found in part 3, how can you predict values that are not included on the table or the graph? <span style="FONT-SIZE: 10pt; FONT-FAMILY: Arial; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA"> <span style="FONT-SIZE: 10pt; FONT-FAMILY: 'Times New Roman'; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA">Ans) In the graph we need to draw a vertically standing line on that particular number of bikes and that line will touch the graph at a point. Then draw a horizontal line till Y axis from the point to get the rent. And for the table we can find out the rent like question 2 above or we can draw a graph and find rent in the same way.