Question

Which equation represents the relationship between the number of decorations Deanna can make and the time, in minutes, it takes her to make the decorations? A.d = 0.1m B.d = 2m C.d = 10m D.d = m + 20

Answer 1

The equation that represents the relationship between the number of decorations Deanna can make (denoted as "d") and the time, in minutes, it takes her to make the decorations (denoted as "m") is option C:
`\(d = 10m\).` The correct option is C.

In this equation, the coefficient 10 indicates the rate at which decorations are produced per minute. It implies that for every unit increase in time (m), Deanna can make 10 decorations.

Option A
`(\(d = 0.1m\))` suggests a slower rate, option B
`(\(d = 2m\))` implies a faster rate, and option D
`(\(d = m + 20\))` introduces a constant addition, which is not reflective of a linear relationship between the number of decorations and time.

Therefore, option C
`(\(d = 10m\))` accurately represents the proportional relationship between decorations and time, indicating a constant rate of production.