Question

At an aquarium, a shrimp is fed 1/5 gram of food each feeding and is fed 3 times each day. Tell which equations represent a proportional relationship between the number of days (d) and the amount of food in grams (f) a shrimp eats?

a. f = (1/5)d
b. f = 3d
c. f = (3/5)d
d. f = (1/15)d

Answer 1

The correct equation that represents a proportional relationship between the number of days (d) and the amount of food in grams (f) that a shrimp eats is f = (3/5)d. This is derived by multiplying the shrimp's per feeding intake (1/5 gram) by the number of daily feedings (3), resulting in 3/5 gram per day.

Step-by-step explanation:

To find out the equations that represent a proportional relationship between the number of days (d) and the amount of food in grams (f) a shrimp eats, we need to identify how the two quantities are related. The shrimp is fed 1/5 gram of food each feeding and is fed 3 times each day. Therefore, the total amount of food the shrimp eats each day is:

• 1/5 gram per feeding × 3 feedings per day = (1/5) × 3 grams per day = 3/5 grams per day.

To find out the total amount of food (f) after d days, we multiply the daily food intake by the number of days:

• f = (3/5) × d grams.

Thus, the equation representing a proportional relationship between the days and the food intake is:

• f = (3/5)d.

Option a, b, and d do not represent proportional relationships because the coefficients (1/5, 3, and 1/15 respectively) do not reflect the correct amount of food (3/5 gram) per day.