You get a job as the manager of a popular ice cream store in your hometown. One of your first concerns is determining how much ice cream you should stock to meet the demands of your customers. You suspect that the number of customers buying ice cream probably depends on several factors. In looking through company files, you discover that the former manager collected considerable data. Last summer, a typical week produced the following data: Day Temperature (degrees Fahrenheit) Number of Transactions Gross Receipts (in dollars) Monday 78 238 3014 Tuesday 73 194 2842 Wednesday 70 172 2141 Thursday 75 185 2235 Friday 83 270 4505 Saturday 89 320 5021 Sunday 94 280 4442 On the graph below, the temperature is graphed on the x axis and the number of transactions is graphed on the y axis. Investigate the relationship between the temperature and the gross receipts. On the grid below, graph temperature on the x axis (input) versus gross receipts on the y axis. (output) Investigate the relationship between number of transactions (input) and gross receipts (output) by graphing the ordered pairs.
You get a job as the manager of a popular ice cream store in your hometown. One of your first concerns is determining how much ice cream you should stock to meet the demands of your customers. You suspect that the number of customers buying ice cream probably depends on several factors.
In looking through company files, you discover that the former manager collected considerable data. Last summer, a typical week produced the following data:
|
Day |
Temperature (degrees Fahrenheit) |
Number of Transactions |
Gross Receipts (in dollars) |
|
Monday |
78 |
238 |
3014 |
|
Tuesday |
73 |
194 |
2842 |
|
Wednesday |
70 |
172 |
2141 |
|
Thursday |
75 |
185 |
2235 |
|
Friday |
83 |
270 |
4505 |
|
Saturday |
89 |
320 |
5021 |
|
Sunday |
94 |
280 |
4442 |
On the graph below, the temperature is graphed on the x axis and the number of transactions is graphed on the y axis.
Investigate the relationship between the temperature and the gross receipts. On the grid below, graph temperature on the x axis (input) versus gross receipts on the y axis. (output)
Investigate the relationship between number of transactions (input) and gross receipts (output) by graphing the ordered pairs.
A. Based on your data, predict the number of transactions if the temperature reaches 98 °. Explain how you made this prediction and how accurate you think it is.
B. Based on your data, predict the gross receipts if the temperature is 80°. Explain how you made this prediction and how accurate you think it is.
C. Based on your data, predict the number of transactions if the temperature falls to 65 °. Explain how you made this prediction and how accurate you think it is.
D. As the number of transactions increases, what can you say about the gross receipts? Explain how you arrived at your conclusion.
E. Describe the other
Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for you. To get remaining sub-part solved please repost the complete question and mention the sub-parts to be solved
Let x denote the temperature and y denote the number of transactions. Tabulate the given data into x and y columns.
| x(Temperature) | y(Number of transactions) |
| 70 | 172 |
| 73 | 194 |
| 75 | 185 |
| 78 | 238 |
| 83 | 270 |
| 89 | 320 |
| 94 | 280 |
Plot a line graph between x and y by marking the x data value and the corresponding y value in the graph and joining the points by a straight line
.png)
From the above graph it can be observed that as the temperature increases the number of transactions increases. Although there are a few discrepancies, it can be seen that the general trend is that the number of transactions increase with the increase in temperature and the line graph seems to have an upward trend
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
