To solve this problem step-by-step, let's break it down into smaller pieces:
1. Determine the total daily caloric intake:
The person consumes 3000 calories per day.
2. Determine the percentage of calories that come from fat:
It is given that 30% of the total caloric intake comes from fat. We can write this as a decimal, which is 0.30.
3. Calculate the number of calories derived from fat:
To find out how many calories come from fat, multiply the total daily caloric intake by the percentage of calories from fat:
[tex]\[
\text{Calories from fat} = \text{Total Calories} \times \text{Percentage from fat}
\][/tex]
Plugging in the numbers:
[tex]\[
\text{Calories from fat} = 3000 \text{ calories} \times 0.30 = 900 \text{ calories}
\][/tex]
4. Convert the calories from fat into grams of fat:
We know that each gram of fat provides 9 calories. So, to find out how many grams of fat are consumed, we divide the calories from fat by the number of calories per gram of fat:
[tex]\[
\text{Grams of fat} = \frac{\text{Calories from fat}}{\text{Calories per gram of fat}}
\][/tex]
Plugging in the numbers:
[tex]\[
\text{Grams of fat} = \frac{900 \text{ calories}}{9 \text{ calories/gram}} = 100 \text{ grams}
\][/tex]
Therefore, for a person consuming 3000 calories per day, with 30% of those calories coming from fat, the intake of fat is 100 grams.
