Question

at a store, the total cost of granola is proportional to its weight, in ounces. the total cost of 8 ounces of granola is 3.12.

create an equation to represent the total cost, c, of w ounces of granola.

Answer 1

To create an equation that represents the total cost \( c \) of \( w \) ounces of granola, we can start by noting that the total cost is proportional to the weight. This means we can express the relationship using the equation:

\[
c = k \cdot w
\]

where \( k \) is the constant of proportionality (cost per ounce).

From the information provided, we know that the total cost of 8 ounces of granola is $3.12. We can use this information to find the value of \( k \):

\[
3.12 = k \cdot 8
\]

To find \( k \), we divide both sides by 8:

\[
k = \frac{3.12}{8} = 0.39
\]

Now that we have found \( k \), we can substitute it back into the equation for total cost:

\[
c = 0.39 \cdot w
\]

Thus, the equation that represents the total cost \( c \) of \( w \) ounces of granola is:

\[
c = 0.39w
\]