Question

malik is tracking the number of minutes he swims each week. malik swam 30 minutes last week. this week, he swims 50% more. how many minutes did malik swim this week? identify and label the point on the double number line that represents the number of minutes malik swam last week. 0 minutes 0% 50% 100% 150%

Explanation:

Step1: Analyze last week's minutes

Last week, Malik swam 30 minutes. On the double number line, 100% corresponds to last week's time (since 100% is the original amount). So we label the 100% mark on the top number line (minutes) with 30.

Step2: Calculate this week's minutes

This week, he swims 50% more. So the percentage of last week's time is \(100\% + 50\% = 150\%\) of last week's minutes. To find 150% of 30, we use the formula: \(\text{New amount} = \text{Original amount} \times (1 + \text{Percentage increase})\). So \(30\times(1 + 0.5)=30\times1.5 = 45\). Alternatively, since 50% of 30 is \(0.5\times30 = 15\), we add that to last week's 30: \(30 + 15 = 45\).

Answer:

This week, Malik swam 45 minutes. For the double - number line, the point representing last week's minutes (30) is at the 100% mark on the top (minutes) number line.