Math  /  Algebra

QuestionTeenage girls should have 9.5 grams of a certain vitamin every 30 days. Latasia has had 0.38 gram of the vitamin every day.
Detine units for the length of time Latasia has been consuming the vitamin and the amount of the vitamin Latasla still needs to consume this month. Enter a variable for the iengeth of thme Latasia has been consuming the vitamin and use this variable to write an sanvessionfor the amount of the vitamin Latasia still needs to consume this month. After completing the worksheet, graph your model.

Studdy Solution

STEP 1

1. Teenage girls need 9.5 grams of the vitamin every 30 days.
2. Latasia consumes 0.38 grams of the vitamin per day.
3. We need to determine how many days Latasia has been consuming the vitamin.
4. We need to calculate how much more vitamin Latasia needs to consume this month.

STEP 2

1. Define the variables and units.
2. Write an expression for the amount of vitamin Latasia has consumed.
3. Write an expression for the amount of vitamin Latasia still needs to consume.
4. Graph the model.

STEP 3

Define the variable t t as the number of days Latasia has been consuming the vitamin. The unit for t t is days.

STEP 4

The amount of vitamin Latasia has consumed is given by the expression 0.38t 0.38t , where t t is the number of days.

STEP 5

The total amount of vitamin needed for the month is 9.5 grams. The amount Latasia still needs to consume is 9.50.38t 9.5 - 0.38t .

STEP 6

To graph the model, plot the expression 9.50.38t 9.5 - 0.38t on the y-axis against t t on the x-axis. This graph will show how the remaining amount of vitamin needed decreases as the number of days increases.
The expression for the amount of vitamin Latasia still needs to consume this month is:
9.50.38t 9.5 - 0.38t

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