Lesson 1: Starter
1. $\$ 6000$ is invested in an account that earns simple interest at the rate of $3.5 \%$ per annum. What is the total interest earned in the first four years is?
2. A car is travelling at $95 \mathrm{~km} / \mathrm{h}$. How far will it travel in 2 hours and 30 minutes?
3. Each student in a class is given a packet of lollies. The teacher records the number of red lollies in each packet using a frequency table.
\begin{tabular}{|c|c|}
\hline $\begin{array}{c}\text { Number of red lollies } \\
\text { in each packet }\end{array}$ & Frequency \\
\hline 0 & 2 \\
\hline 1 & 4 \\
\hline 2 & 2 \\
\hline 3 & 7 \\
\hline 4 & 3 \\
\hline 5 & 1 \\
\hline
\end{tabular}
What is the relative frequency of a packet of lollies containing more than 3 red lollies?
4. Minjy invests $\$ 2000$ for 2 years. The simple interest is calculated at a rate of $6 \%$ per annum. V is the total value of the investment at the end of this period?
5. The blood alcohol content (BAC) of a male's blood is given by the formula;
\[
B A C_{\text {male }}=\frac{10 N-7.5 \mathrm{H}}{6.8 M}, \text { where }
\]
$N$ is the number of standard drinks consumed,
$\boldsymbol{H}$ is the number of hours drinking and
$M$ is the person's mass in $\mathrm{kgs}$.
Calculate the BAC of a male who consumed 4 standard drinks in $3.5 \mathrm{hrs}$ and weighs $68 \mathrm{kgs}$ to 2 decimal places.
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