Question

the local diner surveyed a representative sample of 100 customers to ask which beverage he or she ordered in the diner in the morning. the result of the survey is shown by the table below.

beverage	soda	juice	coffee	tea	none

which one of the following predictions could be made about 1,000 of the diners customers?
a it can be predicted that about 400 of the 1,000 customers at the diner would order soda.
b it can be predicted that about 40% of the 1,000 customers at the diner would not order any beverage.
c it can be predicted that as many as 48 of the 1,000 customers at the diner would order coffee.
d it can be predicted that 8 times as many customers at the diner would order tea as soda.

Explanation:

Step1: Calculate soda proportion

$\frac{4}{100} = 0.04$

Step2: Calculate juice proportion

$\frac{12}{100} = 0.12$

Step3: Calculate coffee proportion

$\frac{48}{100} = 0.48$

Step4: Calculate tea proportion

$\frac{32}{100} = 0.32$

Step5: Calculate none proportion

$\frac{4}{100} = 0.04$

Step6: Verify Option A

$1000 \times 0.04 = 40
eq 400$

Step7: Verify Option B

$0.04 \times 100\% = 4\%
eq 40\%$

Step8: Verify Option C

$1000 \times 0.48 = 480
eq 48$

Step9: Verify Option D

$\frac{0.32}{0.04} = 8$

Answer:

D. It can be predicted that 8 times as many customers at the diner would order tea as soda.