3.Each day the average toddler needs to consume 900 to 1700 calories. At most 30% of a toddler's total calories should come from fat. Describe the number of fat calories and total calories for the diet. Is a toddler following a healthy diet if s/he consumes 1200 calories a day of which 372 are from fat?
We don't have to completely solve the problem, we just have to draw a table with the information and the inequalities (constraints). Does anyone know how I could set this up? I just probably need a hint and then I could set it up I just don't know how to start it off :-/ thanks!!
1700 > = C (calories) > = 900
0.30(1200) = 360 max calories from fat
372 > 360
too much fat
y>900
y<1700
.30(1200)=360 calories from fat
372 is more than 360
So, the toddler is not following a healthy diet as s/he consumes more than 360 fat calories .
To solve this problem, we need to set up some constraints based on the information given.
First, let's define the variables:
- Let C represent the total number of calories consumed
- Let F represent the number of calories consumed from fat
Now, let's apply the given information:
1. Each day, a toddler needs to consume between 900 to 1700 calories. This implies the inequality: 900 <= C <= 1700.
2. At most 30% of the toddler's total calories should come from fat. This implies the equation: F <= 0.3C.
3. The toddler consumes 1200 calories a day, of which 372 are from fat. This implies: C = 1200 and F = 372.
We can set up a table to summarize this information:
| Constraints | Inequality/Equation |
|-------------|---------------------|
| Toddler's total calories per day | 900 <= C <= 1700 |
| Calories from fat | F <= 0.3C |
| Toddler's actual consumption | C = 1200 |
| Fat consumption | F = 372 |
Now you can solve these constraints simultaneously to determine if the toddler is following a healthy diet.