The zoo is expecting a new alligator to arrive in a few days. The previous Reptile Chef fed other species of reptiles currently at the zoo according to the information in the table. You speak with the Mammal Chef, who uses the formula ? = 72?3⁄4 to determine the daily calorie intake for the mammals, where y is the number of Calories eaten and m is the mammal’s mass in kilograms. You wonder if a similar formula might help determine the number of calories for the new alligator. Substitute the data pairs from the table into the formula to find a number a so that the expression ? = ??3⁄4 gives the daily number of Calories required by a reptile with a mass of m kilograms. If alligator has a mass of 400 kilograms, how many calories will it require per day?
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
The zoo is expecting a new alligator to arrive in a few days. The previous Reptile Chef fed other species of reptiles currently at the zoo according to the information in the table. You speak with the Mammal Chef, who uses the formula ? = 72?3⁄4 to determine the daily calorie intake for the mammals, where y is the number of Calories eaten and m is the mammal’s mass in kilograms. You wonder if a similar formula might help determine the number of calories for the new alligator. Substitute the data pairs from the table into the formula to find a number a so that the expression ? = ??3⁄4 gives the daily number of Calories required by a reptile with a mass of m kilograms. If alligator has a mass of 400 kilograms, how many calories will it require per day?
![Activity 3: Performance Task:
The zoo is expecting a new alligator to arrive in a few days. The
previous Reptile Chef fed other species of reptiles currently at the zo0
according to the information in the table. You speak with the Mammal Chef,
who uses the formula y = 72m3/* to determine the daily calorie intake for the
mammals, where y is the number of Calories eaten and m is the mammal's
mass in kilograms. You wonder if a similar formula might help determine
the number of calories for the new alligator. Substitute the data pairs from
the table into the formula to find a number a so that the expression
y = am3/4 gives the daily number of Calories required by a reptile with a
mass of m kilograms.
If alligator has a mass of 400 kilograms, how many calories will it
require per day?
Reptile Type
Bearded Dragon
Spur-thighed Tortoise
Spectacled Caiman
Rhinoceros Iguana
Giant Tortoise
Daily Calories (y)
5.0
Mass (m)
0.4 kg
4.2 kg
34 kg
7.4 kg
250 kg
29.3
141
44.9
62.9](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbdb6eab6-7c36-4c4e-9d89-5630b29c7ddf%2F8dbbba66-8576-4f46-9d94-d87c78301bd5%2Frzairik_processed.jpeg&w=3840&q=75)
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