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.



Solve the equation `r(w)=30`and explain what the solution means in this situation.

Answer 1

Answer:

r(t) = 75 kg - (4.5 kg/wk)w

Step-by-step explanation:

Let r(t) represent the amount of rice remaining after w weeks.

Then:

r(t) = 75 kg - (4.5 kg/wk)w

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Answer 2

Answer:

w=10 and this means that 10 weeks after the rice was bought, 30 kilograms of rice remain.

Step-by-step explanation:

r(w)=75-4.5w is an equation for this function so I'll be using this. First insert r(w)= 30 into the equation.

75-4.5w=30

75-75-4.5w=30-75

-4.5w=-45

-4.5w/-4.5 = -45/ -4.5

w=10

Apologies if the explanation isn't thorough, I'll glady provide more details if necessary.