Which scale factors produce an expansion under a dilation of the original image?

Select each correct answer.

8

0.7

0.8

7

8 and 7

Step-by-step explanation:

For a dilation to produce a larger picture than the original, the scale factor must be greater than 1. I assume an expansion means a larger picture, so 7 and 8 fit this criteria.

For future reference, for it to be smaller than the original, the scale factor must be between 0 and 1. That means that 0.8 and 0.7 will both produce images that are smaller than the original.

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.