Lesson 1: Starter
1. $$ 6000$ is invested in an account that earns simple interest at the rate of $3.5 %$ per annum. What is the total interest earned in the first four years is?
2. A car is travelling at $95 km / h$ . How far will it travel in 2 hours and 30 minutes?
3. Each student in a class is given a packet of lollies. The teacher records the number of red lollies in each packet using a frequency table.
$Unknown environment 'tabular'$
What is the relative frequency of a packet of lollies containing more than 3 red lollies?
4. Minjy invests $$ 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;
$B A C_{male} = \frac{10 N - 7.5 H}{6.8 M}, where$
$N$ is the number of standard drinks consumed,
$H$ is the number of hours drinking and
$M$ is the person's mass in $kgs$ .
Calculate the BAC of a male who consumed 4 standard drinks in $3.5 hrs$ and weighs $68 kgs$ to 2 decimal places.
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5. Calculate the BAC of a male using the given formula and values for N, H, and M: $B A C_{m a l e} = \frac{10 * 4 - 7.5 * 3.5}{6.8 * 68}$

Steps

Step 1 ：1. Calculate the total interest earned in the first four years using the formula I = P * R * T: $I = 6000 * 0.035 * 4$

Step 2 ：2. Calculate the distance the car will travel in 2 hours and 30 minutes using the formula Distance = Speed * Time: $D i s t a n c e = 95 * 2.5$

Step 3 ：3. Calculate the relative frequency of a packet of lollies containing more than 3 red lollies: $\frac{4}{19}$

Step 4 ：4. Calculate the total value of Minjy's investment at the end of 2 years using the formula for simple interest and adding it to the principal amount: $V = 2000 + (2000 * 0.06 * 2)$

Step 5 ：5. Calculate the BAC of a male using the given formula and values for N, H, and M: $B A C_{m a l e} = \frac{10 * 4 - 7.5 * 3.5}{6.8 * 68}$

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