A manufacturing company has a machine that can make 16,200 bolts during an 8-hour shift. What is the constant of proportionality between the number of bolts and the number of hours?

A
1,620

B
2,025

C
2,314

D
2,700

Respuesta :

The constant of proportionality between the number of bolts and the number of hours is 2025.

Option B is the correct answer.

What is the constant of proportionality between the number of bolts and the number of hours?

Proportional relationships are relationships between two variables where their ratios are equivalent.

Using a ∝ b then a = kb

Where k is the proportionality constant.

Given that;

  • Number of bolts a = 16200
  • Number of hours b = 8
  • proportionality constant k = ?

We substitute into our equation.

a = kb

16200 = k × 8

k = 16200 / 8

k = 2025

The constant of proportionality between the number of bolts and the number of hours is 2025.

Option B is the correct answer.

Learn more about proportionality here: brainly.com/question/11202658

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