Question

Shanell is getting frozen yogurt where the cost is proportional to the weight of the frozen yogurt she makes. Last time Shanell went she bought a 8-ounce frozen yogurt for $5.20. This time she buys a 13-ounce frozen yogurt. Let c be the cost of the frozen yogurt. Set up and solve a proportion for c.

Answer 1

To find the cost of a 13-ounce frozen yogurt given an 8-ounce yogurt costs $5.20, one can set up a proportion (8 oz/5.20 dollars = 13 oz/c dollars) and solve for c, which results in c being $8.45.

Step-by-step explanation:

The student is asking how to set up and solve a proportion to find the cost of a 13-ounce frozen yogurt when it is known that an 8-ounce frozen yogurt costs $5.20. The cost is proportional to the weight, which means we can set up the proportion as follows:

Let c be the cost of the 13-ounce frozen yogurt.
\(\frac{8\ oz}{5.20\ dollars} = \frac{13\ oz}{c\ dollars}\)

Now we cross-multiply and solve for c:

8 * c = 5.20 * 13
c = \(\frac{5.20 * 13}{8}\) = 8.45
So, the cost of the 13-ounce frozen yogurt is $8.45.