Use the equation of the line to calculate the followin: calculate the chirp rate for 75o F calculate the temperature at which a cricket would have 48 chirps in 15 seconds
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Part I: Cricket Chirping and Temperature
To determine if the rate of cricket chirps (the number of chirps per some amount of time) was dependent upon ambient temperature, an experiment was performed. A male cricket was put in a container at a controlled temperature and the number of chirps in 15 seconds was measured. The results are shown below:
|
Temperature (degrees F) |
Chirp rate (number of chirps in 15 seconds) |
|
50 |
11 |
|
60 |
21 |
|
70 |
32 |
|
80 |
43 |
|
90 |
54 |
|
100 |
64 |
Question I-2: Suppose that you want to know the chirp rate at a temperature not given above, for example, 73 degrees F, or you want to know the temperature at which a cricket would have 48 chirps in 15 seconds. To determine the mathematical relationship between degrees F and the chirp rate a ‘line of best fit’ is determined. The formula to determine this line is somewhat complicated but nowadays it can be determined by an app. To determine the ‘line of best fit’ (also called least squares regression line)
Use the equation of the line to calculate the followin:
- calculate the chirp rate for 75o F
- calculate the temperature at which a cricket would have 48 chirps in 15 seconds
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