Answer:
Yes, the quantities are proportional.
Step-by-step explanation:
To determine whether they were proportional or not, I compared the ratio of grams of sugar to servings in each pair of data points. 4/2, 6/3, 8/4, and 10/5 were the four points. All of them can be simplified to 2/1, which tells us that each serving of sugar is 2 grams, no matter how many servings are counted. This means that the amount of sugar grows in direct proportion to the number of servings.
1. The average rate of change in a riders height between 1 and 3 seconds -30 ft/s
2. The average rate of change in a riders height between 0 and 5 seconds -24 ft/s
3. Another word for rate of change in this situation is speed
<h3>What is speed? </h3>
Speed is defined as the rate of change of the distance travelled with time. Mathematically, it can be expressed as:
Speed = distance / time
With the above idea, we can obtain the answers to the question given above.
<h3>1. How to determine the rate of change between 1 and 3 seconds</h3>
- Change in height = 30 - 90 = -60 ft
- Change in time = 3 - 1 = 2 s
- Rate of change =?
Rate = Change in height / change in time
Rate = -60 / 2
Rate = -30 ft/s
<h3>2. How to determine the rate of change between 0 and 5 seconds</h3>
- Change in height = 0 - 120 = -120 ft
- Change in time = 5 - 0 = 5 s
- Rate of change =?
Rate = Change in height / change in time
Rate = -120 / 5
Rate = -24 ft/s
<h3>3. what is another word for rate of change?</h3>
From the definition of speed given above, we can say that: another word for rate of change is speed
Learn more about speed:
brainly.com/question/680492
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Answer:
44
Step-by-step explanation:
Given that Avi used 11 toothpicks to form a row of 5 attached triangles.
Total number of toothpicks used = 89
Let the total number of triangles formed be represented by x, so that:
11 toothpicks = 5 triangles
It would be observed that only the first triangle starting the pattern has 3 toothpicks. So that;
the average number of toothpicks for 1 triangle = 
= 2.2
The number of toothpicks per triangle = 2.0
Thus,
x = 
= 44.5
x = 44
The total number of triangles formed is 44.
Answer:
x=-1/2
Step-by-step explanation:
2x+2=4x+3
-1=2x
x=-1/2
