Question

select the correct simulations.
identify the simulations that correctly use numbers to represent a situation in which 55% of store shoppers already have store credit cards.
shoppers with store credit cards: 1 through 11
shoppers without store credit cards: 12 through 20
shoppers with store credit cards: 1 through 21
shoppers without store credit cards: 22 through 40
shoppers without store credit cards: 1 through 33
shoppers with store credit cards: 34 through 60
shoppers without store credit cards: 1 through 18
shoppers with store credit cards: 19 through 40
shoppers with store credit cards: 1 through 24
shoppers without store credit cards: 25 through 40
shoppers without store credit cards: 1 through 36
shoppers with store credit cards: 37 through 80

Explanation:

Step1: Calculate 55% of total numbers

For each option, first find the total count of numbers, then compute 55% of that total to get the number of shoppers with store credit.

Step2: Verify count of credit shoppers

Check if the range for shoppers with store credit matches the calculated 55% value.

Option 1 (Total=20):

$$55\% \times 20 = 0.55 \times 20 = 11$$
Range 1-11 is 11 numbers: matches.

Option 2 (Total=40):

$$55\% \times 40 = 0.55 \times 40 = 22$$
Range 1-21 is 21 numbers: does not match.

Option 3 (Total=60):

$$55\% \times 60 = 0.55 \times 60 = 33$$
Range 34-60 is 27 numbers: does not match.

Option 4 (Total=40):

$$55\% \times 40 = 0.55 \times 40 = 22$$
Range 19-40 is 22 numbers: matches.

Option 5 (Total=40):

$$55\% \times 40 = 0.55 \times 40 = 22$$
Range 1-24 is 24 numbers: does not match.

Option 6 (Total=80):

$$55\% \times 80 = 0.55 \times 80 = 44$$
Range 37-80 is 44 numbers: matches.

Answer:

• shoppers with store credit cards: 1 through 11; shoppers without store credit cards: 12 through 20
• shoppers with store credit cards: 19 through 40; shoppers without store credit cards: 1 through 18
• shoppers with store credit cards: 37 through 80; shoppers without store credit cards: 1 through 36