Question

The number of calories in a serving of oatmeal is proportional to the size of the serving. Suppose there are 160 calories in a 40 gram of serving. Write an equation that models the relationship between the number of calories "c" and the size "s" of a serving of oatmeal.

Answer 1

s=4c

constant of proportionality, k=4

Explanation:

Given that calories served is proportional to size of serving.

#We determine the proportionality constant, k:

`y=kx`

Where k is the factor of proportionality and x and y the quantities:

`\therefore 40s=160c\\\\s=4c\\\\(s)/(c)=k=4`

The constant of proportionality is k=4 and the relationship equation is given as s=4c