Question

20 janice made a cake for her nephews birthday. it measures 9 inches by 16 inches. she found out this will be a huge celebration and decided to double the width and length of the cake. what is the area of the new cake?
a. 576 square inches b. 24 square inches
c. 288 square inches d. 144 square inches

1. a math class is conducting an experiment. they want to determine if soda cans contain 12 ounces of soda as claimed. five students each measured the number of ounces of soda in 10 cans and recorded the average amount per can in the table shown.

soda can experiment

student	average number of ounces in 10 cans
cameron	11.7
nicki	12.1
roberto	11.7
salima	11.9
total	11.78

if the actual average of all the soda cans produced is 13 ounces of soda per can, write a statement that is true about the given information above.

Explanation:

Question 20

Step 1: Find new length and width

Original length = 16 inches, new length = \( 16\times2 = 32 \) inches.
Original width = 9 inches, new width = \( 9\times2 = 18 \) inches.

Step 2: Calculate new area

Area of rectangle = length × width.
New area = \( 32\times18 = 576 \) square inches.

The students’ average (11.78 ounces) and the individual averages (11.5, 11.7, 12.1, 11.7, 11.9) are all less than the actual average of 13 ounces per can. This means the sample data (from the 5 students’ measurements) underestimates the true population average of soda in cans.

Answer:

A. 576 square inches

Question 21