Question

A bakery can produce 400 cookies per hour.Which equation models the total number of cookies, c, that can be produced in h hours?

Answer 1

c = 400h

Explanation:

When two variables are directly proportional then:

`\boxed{y=kx}`

where:

• x is the independent variable.
• y is the dependent variable.
• k is the constant of proportionality.

The constant of proportionality is the constant value of the ratio between two variables.

Given variables:

• Let c be the total number of cookies produced.
• Let h be the number of hours.

Therefore:

• h = independent variable.
• c = dependent variable.

If the bakery can produce 400 cookies each hour, then the constant of proportionality is 400.

Therefore, the equation that models the total number of cookies, c, that can be produced in h hours is:

`\large\boxed{c = 400h}`