Question

In a large area, dinosaurs ate a constant number of worms. Each dinosaur ate the constant of 210 worms. Which equation is in the form y = kx that describes the proportional relationship between dinosaurs and worms?

A) y = 210x
B) y = x/210
C) y = 210
D) y = 1/210

Answer 1

Option A. The equation that describes the proportional relationship between the number of dinosaurs and worms is y = 210x, where 210 is the proportionality constant.

Step-by-step explanation:

The student has asked about an equation that describes a proportional relationship between the number of dinosaurs and the number of worms each dinosaur eats. Since each dinosaur eats 210 worms, we say the number of worms (y) is directly proportional to the number of dinosaurs (x), which can be represented as y = kx, where k is the proportionality constant. The correct equation, therefore, is A) y = 210x, where 210 is the proportionality constant (k).

The equation y = 210x describes the proportional relationship between dinosaurs and worms. In this equation, y represents the number of worms and x represents the number of dinosaurs. The constant 210 indicates that each dinosaur eats 210 worms. The equation is in the form y = kx, where k is the constant of proportionality.