Question
Mary wants to send some packages to her uncle. It costs her $25 to send 5 packages through a certain shipping company. Consider the number of packages per dollar. Write an equation to represent the relationship.
P = 5D
P = D5
P = 5D
D = 1P
P = 5D
P = D5
P = 5D
D = 1P
Answers
GPT-4o mini
To find the relationship between the number of packages (P) and the amount of dollars (D) spent, we start by determining how many packages are sent per dollar.
Since it costs Mary $25 to send 5 packages, we can first calculate the number of packages per dollar:
\[
\text{Number of packages per dollar} = \frac{5 \text{ packages}}{25 \text{ dollars}} = \frac{1}{5} \text{ packages per dollar}
\]
This means, for every dollar (D) spent, Mary can send \(\frac{1}{5}\) of a package. To express this relationship in an equation, we can use:
\[
P = \frac{1}{5}D
\]
This means that the number of packages (P) is equal to one-fifth of the dollars spent (D).
None of the options you provided seem to represent this equation correctly. However, if we need to use the format similar to what is available, the closest representation using integer coefficients would be to rewrite as:
\[
5P = D
\]
This indicates that for every number of packages Mary wants to send, she needs to spend 5 times that amount in dollars. If you are strictly limited to the forms provided, please clarify, and I can adapt accordingly.
Since it costs Mary $25 to send 5 packages, we can first calculate the number of packages per dollar:
\[
\text{Number of packages per dollar} = \frac{5 \text{ packages}}{25 \text{ dollars}} = \frac{1}{5} \text{ packages per dollar}
\]
This means, for every dollar (D) spent, Mary can send \(\frac{1}{5}\) of a package. To express this relationship in an equation, we can use:
\[
P = \frac{1}{5}D
\]
This means that the number of packages (P) is equal to one-fifth of the dollars spent (D).
None of the options you provided seem to represent this equation correctly. However, if we need to use the format similar to what is available, the closest representation using integer coefficients would be to rewrite as:
\[
5P = D
\]
This indicates that for every number of packages Mary wants to send, she needs to spend 5 times that amount in dollars. If you are strictly limited to the forms provided, please clarify, and I can adapt accordingly.