To measure George's rate of change, we first set out two pairs of independent and dependent data which in this case is the day number and the point
Independent Data: Day 2 Independent Data: Day 4
Dependent Data: 8 points Dependant Data: 12 points
Then we find the difference between the two independent values and the two dependent values
4 - 2 = 2
12 - 8 =4
To find the rate we use the following formula
the difference of dependent value ÷ the difference of independent value =
4 ÷ 2 = 2
Hence the average rate of change is an increase of 2 points a day
12 and 3/10 more than 5 and 13/1000 of d equals 15 and 302/1000
12 and 3/10+(5 and 13/1000 times d)=15 and 302/1000
convert to improper fractions
12 and 3/10=123/10
5 and 13/1000=5013/1000
15 and 302/1000=15302/1000
123/10+(5013/1000 times d)=15302/1000
subtract 123/10 from both sides
123/10=12300/1000
(15302-123000)/1000=2698/1000
5013/1000 times d=2698/1000
multiply both sides by 1000/5013 to clear fraction
d=2698/5013
The triangles given below in the diagram are similar by; D: The SSS Similarity theorem.
<h3>How to interpret similar triangles?</h3>
From triangle similarity theorems, we know that;
If a segment is parallel to one side of a triangle and intersects the other two sides, then the triangle formed is similar to the original and the segment that divides the two sides it intersects is proportional.
Now, from the given diagram, we see the ratio of corresponding sides are congruent as;
45/30 = 54/36 = 36/24 = 1.5
Thus, the triangles are similar by SSS similarity theorem
Read more about Similar Triangles at; brainly.com/question/14285697
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Answer: Plan A will cost less than Plan B for phone use that is less than or equal to 100 minutes
Step-by-step explanation:
Let m be the number of minutes of phone use.
We can convert $35 and $36 to 3500 cents and 3600 cents respectively.
Then, in Plan A, it would cost 3500 + 6m and in Plan B, it would cost 3600 + 5m.
Since we want Plan A to cost less, we can set up an inequality saying:
We can subtract 3500 + 5m from both sides:
Therefore, Plan A will cost less than Plan B for phone use that is less than or equal to 100 minutes.
