This diagram shows triangles ABC and PQR. ABC is mapped to PQR by combining two single transformations. The first is a rotation
of 90 degrees clockwise about C. Describe fully the second transformation.
1 answer:
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Answer:
<em>The price for a 60-ounce bag of popcorn would be $16</em>
Step-by-step explanation:
<u>Function Modeling</u>
The behavior of some parameters that depend on a set of variables can be modeled in several ways, like linear, quadratic, exponential, logarithmic, among many others.
The selection of the model is often a complex decision that involves statistics and data analysis.
The question provides us with four points where the volume of popcorn bags and the price in dollars. The easiest function that can be used is the line.
The equation of a line of the volume V and the price p can be found with the expression
We'll use the first two values (6,10) (8,20)
Simplifying and rearranging, we get the model
To test the accuracy of the model, we compute the values of p for V=35 and for V=48
Since the computed values are equal to those of the table, the model is accurate. We can now predict the price for V=60
The price for a 60-ounce bag of popcorn would be $16
To solve this problem you must apply the proccedure shown below:
1. We know that 1 yard is 36 inches, therefore, 50 yards expressed in inches is:
2. If he is 50 yards from school and the map shows that the school is 34 inches from his current location, when it shows 3 inches the real distance is:
3. If you can to express it in yards:
Therefore, the answer is: 158.82 inches or 4.41 yards.