Lucas and brianna read three books each last month. a.
b.
which of the tables, if any, shows a proportional relationship?
both lucas and brianna had specific reading goals they needed to accomplish. what different strategies did
each person employ in reaching those goals?

Please read the answer to Parts A and B below.

Correct statement, question and data:

Lucas and Brianna read three books each last month. The table shows the number of pages in each book and the length of time it took to read the entire book.

Pages Lucas Read 208 156 234  

Time (hours)          8      6     9

Pages Brianna Read 168 120 348  

Time (hours)               6     4      12

a. How many observations can you make about any similarities or difference that exist between the reading rates  of the two students.

b. Both Lucas and Brianna had specific reading goals they needed to accomplish. What different strategies did  each person employ in reaching those goals?

Source:

Grade 7, Module 1 - Student material of New York State

Step-by-step explanation:

Part A.

We notice that Lucas read at a constant reading rate of 26 pages per hour and he read for a total of 23 hours. On the other hand, Brianna, does not follow a constant reading rate, she read the first book at a rate of 28 pages per hour, the second at a rate of 30 pages per hour and the third book at a rate of 29 pages per hour, adding up to 22 hours.

Part B.

Lucas followed at a constant rate of 26 pages per hour and Brianna was not constant but she reads faster than Lucas with an average rate of 29 pages per hour (636 pages in 22 hours).

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

3-4

step-by-step explanation:

the answer is 3-4 because both 45 and 60 has a multiple of 15.

45/3=15

60/4=15

therefore the odds against selecting a red is 4-3