Question

The Beach Side surf shop and the Waves surf shop kept receipts for the number of surfboards they rented over a period of two years. Surfboards Rented Year Beach Side Wave 2014 2,345 2,216 2015 1,196 1,891 Which statements about the number of surfboards rented are true? Select all that apply.

A. More surfboards were rented in 2014 than 2015.
B. In 2015, the Beachside surf shop rented fewer surfboards than Waves.
C. In 2015, the Beachside surf shop rented more surfboards than Waves.
D. The Waves surf shop rented fewer surfboards in 2015 than in 2014.
a) A and C
b) B and D
c) A and D
d) B and C

Answer 1

Statements A (more surfboards were rented in 2014 than 2015) and D (Waves surf shop rented fewer surfboards in 2015 than in 2014) are true. Beach Side rented fewer surfboards than Waves in 2015, supporting statement B. Hence, the correct answer is c) A and D.

Step-by-step explanation:

The question relates to the analysis of categorical data from two surf shops over a two-year period. By comparing the numbers given, we can determine which statements are true.

• More surfboards were rented in 2014 than 2015.
• In 2015, the Beach Side surf shop rented fewer surfboards than Waves.
• The Waves surf shop rented fewer surfboards in 2015 than in 2014.

To verify these statements, we compare the number of surfboards rented in each year by each shop. In 2014, the total number of surfboards rented by both shops is 2,345 (Beach Side) + 2,216 (Waves) = 4,561. In 2015, the total is 1,196 (Beach Side) + 1,891 (Waves) = 3,087. Clearly, more surfboards were rented in 2014 than in 2015, confirming statement A.

Looking at the data for 2015, Beach Side rented 1,196 surfboards while Waves rented 1,891. Therefore, the Beach Side rented fewer than Waves, confirming statement B. For statement D, Waves rented 2,216 surfboards in 2014 and only 1,891 in 2015, which is indeed fewer than the previous year.

Therefore, the correct statements are A (more surfboards were rented in 2014 than 2015), B (the Beachside surf shop rented fewer surfboards than Waves in 2015), and D (the Waves surf shop rented fewer surfboards in 2015 than in 2014). The correct answer is option c) A and D.