<span>Function
1:
Number of Weeks (x) Amount Remaining (dollars) (y)
1 30
2 24
3 18
4
12
You find the rate of weekley rate of change by calculating the difference of the amont remaing between two weeks:
24 - 30 = - 6
18 - 24 = - 6
12 - 18 = - 6
As you see the rate of change is constant: - 6 dollars per week.
The equation shows the relationship between the amount of money, y,
remaining in Ricky's account and the number of weeks, x:
Function 2: y =
–7x + 30 Which statement states and explains which function shows a
greater rate of change?
The rate of change is the slope of the linear function, and this is the coefficient of the independent variable, x. Then the rate of change is - 7 dollar per week. Now you know that the two rates are constant and that the second function shows a steeper decreasing.
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Answer:
Read the problem carefully. For the purposes of this step-by-step geometry proof, use the following example: Given that triangle ABC is an equilateral triangle and that line AD bisects line BC, prove that the resulting triangle ABD is a right triangle.Draw an illustration of the problem. Having a picture in front of you when doing a geometry proof really helps organize your thoughts.Consider what you know about each piece of given information. For example, because ABC is an equilateral triangle, all three sides must be the same length. Furthermore, all three angles must be equal as well. Since a triangle contains 180 degrees, then each angle in an equilateral triangle must measure 60 degrees. Moving on to the other piece of given information, since line AD bisects side BC, that makes line segments CD and DB equal in length.Use the facts established by the given information to generate more facts that are useful to your geometric proof. Since the line segments CD and DB are equal in length, that means the angle CAD must be equal to the angle DAB.Extrapolate from the facts to get closer to the solution. Since angle A is 60 degrees, the smaller angles must be one half of 60, or 30 degrees. Given that angle B is 60 degrees and that angle DAB is 30 degrees, this accounts for 90 degrees of a triangle. The remaining 90 degrees must be contained in the angle BDA. Since a right triangle must contain a 90-degree angle, you have just proven that triangle ABD is a right triangle.Write out the step-by-step geometric proof of the problem in a two-column format. In the left hand column, write a statement and in the right hand column, write the proof of the statement. Repeat this process until you have documented all of the steps in your thinking process that resulted in your solution.
Step-by-step explanation:
Answer:4 squares or a rectangle and a square
Step-by-step explanation:
Answer: 208 calories.
Step-by-step explanation:
To find the answer, first find out the number of calories in one ounce of frozen yogurt:
= 78 / 3
= 26 calories
One ounce of frozen yogurt contains 26 calories.
If there are 8 ounces therefore, the number of calories would be:
= Yogurt * calories per yogurt ounce
= 8 * 26
= 208 calories.
