Question

The owner of a small restaurant bought 75 kilograms of rice. Each week, the restaurant uses 4.5 kilograms of rice. Function r gives the remaining amount of rice, in kilograms, as a function of the number of weeks since the restaurant owner bought the rice.6 weeks | kilograms of rice left12 weeks | kilograms of rice leftw weeks | kilograms of rice

Answer 1

The total kg of rice bought is 75kg

Each week, 4.5kg is used,

Let the number of weeks be represented by n

The remaining amount of rice is represented by r

The relationship between the values above can be given as,

`r=75-4.5n`

For 6 weeks, the kilogram of rice left where n = 6 is,

For 12 weeks, the kilogram of rice left where n = 12 is,

For w weeks, the kilogram of rice left where n = w is,

`\begin{gathered} r=75-4.5n \\ r=75-4.5(w)=75-4.5w \end{gathered}`

Hence, after 6 weeks, the remaining rice left is 48kg

Hence, after 12 weeks, the remaining rice left is 21kg

Hence, after w weeks, the remaining rice left is (75-4.5w)kg