Question9 At practice, Cadesia swims 2 laps every 5 minutes. If she continues to swim at a constant rate, which method could be used to determine the number of minutes it takes her to swim 12 laps?
A Multiply 12 by 2.5
B Multiply 12 by 5
C Divide 12 by 2.5
D Divide 12 by 10

Studdy Solution

STEP 1

1. Cadesia swims at a constant rate.
2. She swims 2 laps every 5 minutes.
3. We need to determine the number of minutes it takes her to swim 12 laps.

STEP 2

1. Determine the rate of laps per minute.
2. Set up a proportion to find the time for 12 laps.
3. Solve the proportion to find the correct method.

STEP 3

Determine the rate of laps per minute.
Cadesia swims 2 laps in 5 minutes, so her rate is:
$\text{Rate} = \frac{2 \text{ laps}}{5 \text{ minutes}} = \frac{2}{5} \text{ laps per minute}$

STEP 4

Set up a proportion to find the time for 12 laps.
We want to find the time $t$ it takes to swim 12 laps. Using her rate:
$\frac{2 \text{ laps}}{5 \text{ minutes}} = \frac{12 \text{ laps}}{t \text{ minutes}}$

STEP 5

Solve the proportion to find the correct method.
Cross-multiply to solve for $t$ :
$2t = 5 \times 12$
$2t = 60$
Divide both sides by 2 to solve for $t$ :
$t = \frac{60}{2}$
$t = 30$
To find the method that matches this calculation, notice that multiplying 12 by 5 gives us 60, which when divided by 2 (since she swims 2 laps in 5 minutes), gives us 30 minutes.
Therefore, the correct method is:
B Multiply 12 by 5

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