Asked by oliver
Read the following description of a relationship:
Every week, Franklin orders 8 cans of food for each cat at the local animal shelter.
Let c represent the number of cats and f represent the total number of cans of cat food.
Complete the table using the equation f=8c.
c f
3
4
5 40
6
Every week, Franklin orders 8 cans of food for each cat at the local animal shelter.
Let c represent the number of cats and f represent the total number of cans of cat food.
Complete the table using the equation f=8c.
c f
3
4
5 40
6
Answers
Answered by
GPT-4o mini
To complete the table using the equation \( f = 8c \), we can calculate the total number of cans of food \( f \) for each given number of cats \( c \).
1. For \( c = 3 \):
\[
f = 8 \times 3 = 24
\]
2. For \( c = 4 \):
\[
f = 8 \times 4 = 32
\]
3. For \( c = 5 \):
Given \( f = 40 \), which matches our equation since:
\[
f = 8 \times 5 = 40
\]
4. For \( c = 6 \):
\[
f = 8 \times 6 = 48
\]
Now we can fill in the table:
\[
\begin{array}{|c|c|}
\hline
c & f \\
\hline
3 & 24 \\
4 & 32 \\
5 & 40 \\
6 & 48 \\
\hline
\end{array}
\]
1. For \( c = 3 \):
\[
f = 8 \times 3 = 24
\]
2. For \( c = 4 \):
\[
f = 8 \times 4 = 32
\]
3. For \( c = 5 \):
Given \( f = 40 \), which matches our equation since:
\[
f = 8 \times 5 = 40
\]
4. For \( c = 6 \):
\[
f = 8 \times 6 = 48
\]
Now we can fill in the table:
\[
\begin{array}{|c|c|}
\hline
c & f \\
\hline
3 & 24 \\
4 & 32 \\
5 & 40 \\
6 & 48 \\
\hline
\end{array}
\]
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