Question

Which of these equations could represent this tape diagram? Select all that apply.

a. 6 (r + 1) = 24
b. 6 + 1 = 24
c. 6 + 6 = 24
d. 1217/24 = x + 1

Answer 1

Equation a) 6 (r + 1) = 24 could represent a tape diagram with six equal parts adding up to 24, whereas the other options are not correct based on simple arithmetic.

Step-by-step explanation:

The student is asking which of the given equations could represent a tape diagram. A tape diagram is a visual model that can help in solving algebra problems. Without the diagram, it is difficult to answer definitively, but we can evaluate each option:

• a. 6 (r + 1) = 24: This is a valid algebraic equation that implies there are 6 groups of something, each group having 'r + 1' units, totaling 24.
• b. 6 + 1 = 24: This is an inaccurate equation since 6 + 1 equals 7, not 24.
• c. 6 + 6 = 24: This equation is incorrect because the sum of 6 + 6 is 12.
• d. 1217/24 = x + 1: This appears to be a misspecified equation and doesn't match any conventional form we'd expect to correspond to a tape diagram without further context.

Based on standard representations, equation a) 6 (r + 1) = 24 could represent a tape diagram where there are six equal parts that add up to 24, making it a possible correct choice.