A student purchased a box of green tea mints. The nutrition label on the box stated that a serving of 3 mints contains a total of 10 calories. A) Graph the function C, where C(x) represents the number of calories in x mints.
B)Write an equation that represents C(x). C)A full box of mints contains 180 calories. Use the equation to determine the total number of mints in the box.
I'm having trouble with part B - writing the equation.
C(x) = 10/3 x
10cal/3mints = 10/3 cal/mint
Na
To write an equation that represents C(x), where C(x) represents the number of calories in x mints, you can use the information given in the problem.
We are told that a serving of 3 mints contains a total of 10 calories. This means that for every 3 mints, there are 10 calories.
To find the equation, you can set up a proportion:
3 mints / 10 calories = x mints / C calories
Cross multiplying, we get:
3C = 10x
Dividing both sides by 3:
C = (10/3)x
So, the equation that represents C(x) is C = (10/3)x.
Now, let's move on to part C.
To write the equation that represents C(x), we need to find the relationship between the number of mints (x) and the number of calories (C).
We are given that a serving of 3 mints contains a total of 10 calories. So, we can say that for every 3 mints, there are 10 calories.
To find out how many calories are in x mints, we can set up a proportion:
3 mints = 10 calories
x mints = C calories
To solve for C, we can use cross-multiplication:
3 * C = 10 * x
Simplifying the equation gives us:
C = (10/3) * x
Therefore, the equation C(x) that represents the number of calories in x mints is:
C(x) = (10/3) * x
Now, let's move on to part C to determine the total number of mints in the box.