To determine which equation corresponds to the diagram you mentioned, we'll analyze the provided answer choices and their mathematical meanings.
- \(38 = 3z + 14\): This suggests that 38 is equal to three times \(z\) plus 14.
- \(38 ÷ 14 = z\): This indicates that \(z\) is equal to 38 divided by 14.
- \(38 = 14z\): This indicates that 38 is equal to 14 times \(z\).
- \(38 + 14 = 3z\): This suggests that the sum of 38 and 14 is equal to three times \(z\).
Since I can't see the diagram in question, I'll guide you on how to approach choosing the correct equation:
- If the diagram has a total of 38 represented as a combination of three equal parts or quantities plus an additional quantity, the first equation (\(38 = 3z + 14\)) might be suitable.
- If the diagram shows \(z\) as a ratio formed from dividing 38 by 14, then the second equation (\(38 ÷ 14 = z\)) would be correct.
- If the diagram suggests that 38 is equally divided into parts, related to multiples of 14, consider the third equation (\(38 = 14z\)).
- If the diagram indicates that 38 added to another quantity results in three times \(z\), then the fourth equation (\(38 + 14 = 3z\)) fits.
Please evaluate the structure of your diagram in relation to these possible equations to identify the correct one.