Marielle’s painting has the dimensions shown (painting width = 18 inches, painting length = 24 inches). the school asks her to paint a larger version that will hang in the cafeteria. the larger version will be twice the width and twice the height. is the area of the original painting proportional to the area of the larger painting? if so, what is the constant proportionality?

Answer

Find out the  what is the constant proportionality .

To prove

Formula

Area of rectangle = Length × Breadth

As given

Marielle’s painting has the dimensions shown (Painting Width = 18 inches, Painting Length = 24 inches).

Area of the original painting = 18 × 24

                                              =  432 inches²

As given

The school asks her to paint a larger version that will hang in the cafeteria.

The larger version will be twice the width and twice the height.

Length of the  larger version painting = 2 × 18

                                                              = 36 inches

Breadth of the  larger version painting = 2 × 24

                                                                = 48 inches

Now area of the larger version painting = 36 × 48

                                                                  = 1728 inches²

As given

The  area of the original painting proportional to the area of the larger

painting .

Thus

Where k is the constant  of proportionality

Putting the value

432 = k × 1728

k = 4

The constant proportionality is 4 .

Hence proved  

1 1/4 hours

step-by-step explanation:

2/4 + 2/4 + 1/4 = 5/4 or 1 1/4

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.