Question

Based on her recipe, Elena knows that 5 servings of granola have 1,750 calories. which equation can be used to represent the relationship between the number of calories, c, and the number of servings of granola, g?

Answer 1

c = 350g

Step-by-step explanation:

To find the relationship, we will use proportions. So, we know that 5 servings of granola have 1,750 calories and it will be equivalent to g servings of granola with c calories. Therefore, the proportion is:

`\frac{\text{Granola}}{\text{Calories}}=(5)/(1,750)=(g)/(c)`

So, using cross multiplication, we get:

`5\cdot c=1,750\cdot g`

Then, solving for c, we get:

`\begin{gathered} 5c=1750g \\ (5c)/(5)=(1750g)/(5) \\ c=350g \end{gathered}`

So, the answer is: c = 350g