Question

Adrianna really loves tea, and so decides to open a tea shop. Because tea changes flavor over time, how long a tea has been on display changes how much Adrianna can sell it for. For each of the following teas, write the function rule that gives the value of the tea in terms of the number of weeks t since being placed on display.An ounce of Darjeeling costs $7 and decreases by $0.63 per weekf(t)= An ounce of Pu-Erh costs $11 and increases by 1.3% per weekg(t)=An ounce of Jasmine tea costs $7 and decreases by 2% per weekh(t)= An ounce of Lapsang Souchong costs $15 and increases by $0.86 per weekm(t)=

Answer 1

The value of tea changes with time in weeks since being placed on display. Therefore, the function rule for each of them would be as follows;

`\begin{gathered} (1)\text{ Darj}eel \\ f(t)=7-0.63t \end{gathered}`
`\begin{gathered} (2)\text{ Pu-Erh} \\ g(t)=11(1+0.013)^t \\ \text{Therefore;} \\ g(t)=11(1.013)^t \end{gathered}`
`\begin{gathered} (3)\text{ Jasmine} \\ h(t)=7(1-0.02)^t \\ \text{Therefore;} \\ h(t)=7(0.98)^t \end{gathered}`
`\begin{gathered} (4)\text{ Lapsang} \\ m(t)=15+0.86t \end{gathered}`