In an experiment, a researcher has concluded that a dosage of g grams of a certain medicinal formula cause a rat to increase its mass by M, where M = 2(g+25). If a 25-gram of the medicinal formula is administered to a rat, how much mass would the rat gain? in a function

To determine the mass increase \( M \) of a rat given a dosage of \( g \) grams of a medicinal formula, we use the provided function:

\[ M = 2(g + 25) \]

We need to find the mass increase when the dosage \( g \) is 25 grams. Plug \( g = 25 \) into the function:

\[ M = 2(25 + 25) \]
\[ M = 2(50) \]
\[ M = 100 \]

Therefore, if a 25-gram dosage of the medicinal formula is administered to a rat, the rat would gain 100 grams of mass.

Would you like more details or have any questions?

Here are some related questions to expand on this information:

1. What is the mass gain if the dosage is 50 grams?
2. How would the mass gain change if the dosage is 10 grams?
3. What dosage is required for the rat to gain 200 grams of mass?
4. How does the mass gain function change if the coefficient 2 is replaced with 3?
5. What is the mass gain for a dosage of 0 grams?
6. How can the mass gain be expressed as a function of the dosage minus 25 grams?
7. If the mass gain must not exceed 150 grams, what is the maximum dosage that can be administered?
8. How would the mass gain function change if there is an additional constant mass gain regardless of dosage?

**Tip:** When working with functions, always double-check the values and expressions used in calculations to ensure accuracy.

Explore how to calculate the mass gain of a rat when administered a dosage of a medicinal formula. Using the formula M = 2(g + 25), learn how different dosages affect mass gain. Suitable for Grades 7-9.

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